diff --git a/src/libraries/System.Runtime.Numerics/src/System/Numerics/BigInteger.cs b/src/libraries/System.Runtime.Numerics/src/System/Numerics/BigInteger.cs
index 5f4cf82f75a941..539e1c3175955b 100644
--- a/src/libraries/System.Runtime.Numerics/src/System/Numerics/BigInteger.cs
+++ b/src/libraries/System.Runtime.Numerics/src/System/Numerics/BigInteger.cs
@@ -1707,7 +1707,7 @@ private static BigInteger Add(ReadOnlySpan<uint> leftBits, int leftSign, ReadOnl
             }
 
             if (bitsFromPool != null)
-                    ArrayPool<uint>.Shared.Return(bitsFromPool);
+                ArrayPool<uint>.Shared.Return(bitsFromPool);
 
             return result;
         }
@@ -2642,7 +2642,7 @@ public static implicit operator BigInteger(nuint value)
 
             if (zdFromPool != null)
                 ArrayPool<uint>.Shared.Return(zdFromPool);
-        exit:
+            exit:
             if (xdFromPool != null)
                 ArrayPool<uint>.Shared.Return(xdFromPool);
 
@@ -3255,7 +3255,27 @@ public static BigInteger PopCount(BigInteger value)
         public static BigInteger RotateLeft(BigInteger value, int rotateAmount)
         {
             value.AssertValid();
-            int byteCount = (value._bits is null) ? sizeof(int) : (value._bits.Length * 4);
+
+            bool negx = value._sign < 0;
+            uint smallBits = NumericsHelpers.Abs(value._sign);
+            scoped ReadOnlySpan<uint> bits = value._bits;
+            if (bits.IsEmpty)
+            {
+                bits = new ReadOnlySpan<uint>(in smallBits);
+            }
+
+            int xl = bits.Length;
+            if (negx && (bits[^1] >= kuMaskHighBit) && ((bits[^1] != kuMaskHighBit) || bits.IndexOfAnyExcept(0u) != (bits.Length - 1)))
+            {
+                // We check for a special case where its sign bit could be outside the uint array after 2's complement conversion.
+                // For example given [0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF], its 2's complement is [0x01, 0x00, 0x00]
+                // After a 32 bit right shift, it becomes [0x00, 0x00] which is [0x00, 0x00] when converted back.
+                // The expected result is [0x00, 0x00, 0xFFFFFFFF] (2's complement) or [0x00, 0x00, 0x01] when converted back
+                // If the 2's component's last element is a 0, we will track the sign externally
+                ++xl;
+            }
+
+            int byteCount = xl * 4;
 
             // Normalize the rotate amount to drop full rotations
             rotateAmount = (int)(rotateAmount % (byteCount * 8L));
@@ -3272,14 +3292,13 @@ public static BigInteger RotateLeft(BigInteger value, int rotateAmount)
             (int digitShift, int smallShift) = Math.DivRem(rotateAmount, kcbitUint);
 
             uint[]? xdFromPool = null;
-            int xl = value._bits?.Length ?? 1;
-
             Span<uint> xd = (xl <= BigIntegerCalculator.StackAllocThreshold)
                           ? stackalloc uint[BigIntegerCalculator.StackAllocThreshold]
                           : xdFromPool = ArrayPool<uint>.Shared.Rent(xl);
             xd = xd.Slice(0, xl);
+            xd[^1] = 0;
 
-            bool negx = value.GetPartsForBitManipulation(xd);
+            bits.CopyTo(xd);
 
             int zl = xl;
             uint[]? zdFromPool = null;
@@ -3390,7 +3409,28 @@ public static BigInteger RotateLeft(BigInteger value, int rotateAmount)
         public static BigInteger RotateRight(BigInteger value, int rotateAmount)
         {
             value.AssertValid();
-            int byteCount = (value._bits is null) ? sizeof(int) : (value._bits.Length * 4);
+
+
+            bool negx = value._sign < 0;
+            uint smallBits = NumericsHelpers.Abs(value._sign);
+            scoped ReadOnlySpan<uint> bits = value._bits;
+            if (bits.IsEmpty)
+            {
+                bits = new ReadOnlySpan<uint>(in smallBits);
+            }
+
+            int xl = bits.Length;
+            if (negx && (bits[^1] >= kuMaskHighBit) && ((bits[^1] != kuMaskHighBit) || bits.IndexOfAnyExcept(0u) != (bits.Length - 1)))
+            {
+                // We check for a special case where its sign bit could be outside the uint array after 2's complement conversion.
+                // For example given [0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF], its 2's complement is [0x01, 0x00, 0x00]
+                // After a 32 bit right shift, it becomes [0x00, 0x00] which is [0x00, 0x00] when converted back.
+                // The expected result is [0x00, 0x00, 0xFFFFFFFF] (2's complement) or [0x00, 0x00, 0x01] when converted back
+                // If the 2's component's last element is a 0, we will track the sign externally
+                ++xl;
+            }
+
+            int byteCount = xl * 4;
 
             // Normalize the rotate amount to drop full rotations
             rotateAmount = (int)(rotateAmount % (byteCount * 8L));
@@ -3407,14 +3447,13 @@ public static BigInteger RotateRight(BigInteger value, int rotateAmount)
             (int digitShift, int smallShift) = Math.DivRem(rotateAmount, kcbitUint);
 
             uint[]? xdFromPool = null;
-            int xl = value._bits?.Length ?? 1;
-
             Span<uint> xd = (xl <= BigIntegerCalculator.StackAllocThreshold)
                           ? stackalloc uint[BigIntegerCalculator.StackAllocThreshold]
                           : xdFromPool = ArrayPool<uint>.Shared.Rent(xl);
             xd = xd.Slice(0, xl);
+            xd[^1] = 0;
 
-            bool negx = value.GetPartsForBitManipulation(xd);
+            bits.CopyTo(xd);
 
             int zl = xl;
             uint[]? zdFromPool = null;
@@ -3461,19 +3500,12 @@ public static BigInteger RotateRight(BigInteger value, int rotateAmount)
             {
                 int carryShift = kcbitUint - smallShift;
 
-                int dstIndex = 0;
-                int srcIndex = digitShift;
+                int dstIndex = xd.Length - 1;
+                int srcIndex = digitShift == 0
+                    ? xd.Length - 1
+                    : digitShift - 1;
 
-                uint carry = 0;
-
-                if (digitShift == 0)
-                {
-                    carry = xd[^1] << carryShift;
-                }
-                else
-                {
-                    carry = xd[srcIndex - 1] << carryShift;
-                }
+                uint carry = xd[digitShift] << carryShift;
 
                 do
                 {
@@ -3482,22 +3514,22 @@ public static BigInteger RotateRight(BigInteger value, int rotateAmount)
                     zd[dstIndex] = (part >> smallShift) | carry;
                     carry = part << carryShift;
 
-                    dstIndex++;
-                    srcIndex++;
+                    dstIndex--;
+                    srcIndex--;
                 }
-                while (srcIndex < xd.Length);
+                while ((uint)srcIndex < (uint)xd.Length); // is equivalent to (srcIndex >= 0 && srcIndex < xd.Length)
 
-                srcIndex = 0;
+                srcIndex = xd.Length - 1;
 
-                while (dstIndex < zd.Length)
+                while ((uint)dstIndex < (uint)zd.Length) // is equivalent to (dstIndex >= 0 && dstIndex < zd.Length)
                 {
                     uint part = xd[srcIndex];
 
                     zd[dstIndex] = (part >> smallShift) | carry;
                     carry = part << carryShift;
 
-                    dstIndex++;
-                    srcIndex++;
+                    dstIndex--;
+                    srcIndex--;
                 }
             }
 
@@ -5252,13 +5284,32 @@ static bool INumberBase<BigInteger>.TryConvertToTruncating<TOther>(BigInteger va
 
             BigInteger result;
 
+            bool negx = value._sign < 0;
+            uint smallBits = NumericsHelpers.Abs(value._sign);
+            scoped ReadOnlySpan<uint> bits = value._bits;
+            if (bits.IsEmpty)
+            {
+                bits = new ReadOnlySpan<uint>(in smallBits);
+            }
+
+            int xl = bits.Length;
+            if (negx && (bits[^1] >= kuMaskHighBit) && ((bits[^1] != kuMaskHighBit) || bits.IndexOfAnyExcept(0u) != (bits.Length - 1)))
+            {
+                // For a shift of N x 32 bit,
+                // We check for a special case where its sign bit could be outside the uint array after 2's complement conversion.
+                // For example given [0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF], its 2's complement is [0x01, 0x00, 0x00]
+                // After a 32 bit right shift, it becomes [0x00, 0x00] which is [0x00, 0x00] when converted back.
+                // The expected result is [0x00, 0x00, 0xFFFFFFFF] (2's complement) or [0x00, 0x00, 0x01] when converted back
+                // If the 2's component's last element is a 0, we will track the sign externally
+                ++xl;
+            }
+
             uint[]? xdFromPool = null;
-            int xl = value._bits?.Length ?? 1;
             Span<uint> xd = (xl <= BigIntegerCalculator.StackAllocThreshold
                           ? stackalloc uint[BigIntegerCalculator.StackAllocThreshold]
                           : xdFromPool = ArrayPool<uint>.Shared.Rent(xl)).Slice(0, xl);
-
-            bool negx = value.GetPartsForBitManipulation(xd);
+            xd[^1] = 0;
+            bits.CopyTo(xd);
 
             if (negx)
             {
diff --git a/src/libraries/System.Runtime.Numerics/tests/BigInteger/MyBigInt.cs b/src/libraries/System.Runtime.Numerics/tests/BigInteger/MyBigInt.cs
index cd4a578fab910e..8bb69d9f5e25bd 100644
--- a/src/libraries/System.Runtime.Numerics/tests/BigInteger/MyBigInt.cs
+++ b/src/libraries/System.Runtime.Numerics/tests/BigInteger/MyBigInt.cs
@@ -108,8 +108,14 @@ public static BigInteger DoBinaryOperatorMine(BigInteger num1, BigInteger num2,
                     return new BigInteger(Max(bytes1, bytes2).ToArray());
                 case "b>>":
                     return new BigInteger(ShiftLeft(bytes1, Negate(bytes2)).ToArray());
+                case "b>>>":
+                    return new BigInteger(ShiftRightUnsigned(bytes1, bytes2).ToArray());
                 case "b<<":
                     return new BigInteger(ShiftLeft(bytes1, bytes2).ToArray());
+                case "bRotateLeft":
+                    return new BigInteger(RotateLeft(bytes1, bytes2).ToArray());
+                case "bRotateRight":
+                    return new BigInteger(RotateLeft(bytes1, Negate(bytes2)).ToArray());
                 case "b^":
                     return new BigInteger(Xor(bytes1, bytes2).ToArray());
                 case "b|":
@@ -637,11 +643,68 @@ public static List<byte> Not(List<byte> bytes)
             return bnew;
         }
 
+        public static List<byte> ShiftRightUnsigned(List<byte> bytes1, List<byte> bytes2)
+        {
+            int byteShift = (int)new BigInteger(Divide(Copy(bytes2), new List<byte>(new byte[] { 8 })).ToArray());
+            sbyte bitShift = (sbyte)new BigInteger(Remainder(Copy(bytes2), new List<byte>(new byte[] { 8 })).ToArray());
+
+            if (byteShift == 0 && bitShift == 0)
+                return bytes1;
+
+            if (byteShift < 0 || bitShift < 0)
+                return ShiftLeft(bytes1, Negate(bytes2));
+
+            Trim(bytes1);
+
+            byte fill = (bytes1[bytes1.Count - 1] & 0x80) != 0 ? byte.MaxValue : (byte)0;
+
+            if (fill == byte.MaxValue)
+            {
+                while (bytes1.Count % 4 != 0)
+                {
+                    bytes1.Add(fill);
+                }
+            }
+
+            if (byteShift >= bytes1.Count)
+            {
+                return [fill];
+            }
+
+            if (fill == byte.MaxValue)
+            {
+                bytes1.Add(0);
+            }
+
+            for (int i = 0; i < bitShift; i++)
+            {
+                bytes1 = ShiftRight(bytes1);
+            }
+
+            List<byte> temp = new List<byte>();
+            for (int i = byteShift; i < bytes1.Count; i++)
+            {
+                temp.Add(bytes1[i]);
+            }
+            bytes1 = temp;
+
+            if (fill == byte.MaxValue && bytes1.Count % 4 == 1)
+            {
+                bytes1.RemoveAt(bytes1.Count - 1);
+            }
+
+            Trim(bytes1);
+
+            return bytes1;
+        }
+
         public static List<byte> ShiftLeft(List<byte> bytes1, List<byte> bytes2)
         {
             int byteShift = (int)new BigInteger(Divide(Copy(bytes2), new List<byte>(new byte[] { 8 })).ToArray());
             sbyte bitShift = (sbyte)new BigInteger(Remainder(bytes2, new List<byte>(new byte[] { 8 })).ToArray());
 
+            Trim(bytes1);
+
             for (int i = 0; i < Math.Abs(bitShift); i++)
             {
                 if (bitShift < 0)
@@ -774,6 +837,105 @@ public static List<byte> ShiftRight(List<byte> bytes)
             return bresult;
         }
 
+        public static List<byte> RotateRight(List<byte> bytes)
+        {
+            List<byte> bresult = new List<byte>();
+
+            byte bottom = (byte)(bytes[0] & 0x01);
+
+            for (int i = 0; i < bytes.Count; i++)
+            {
+                byte newbyte = bytes[i];
+
+                newbyte = (byte)(newbyte / 2);
+                if ((i != (bytes.Count - 1)) && ((bytes[i + 1] & 0x01) == 1))
+                {
+                    newbyte += 128;
+                }
+                if ((i == (bytes.Count - 1)) && (bottom != 0))
+                {
+                    newbyte += 128;
+                }
+                bresult.Add(newbyte);
+            }
+
+            return bresult;
+        }
+
+        public static List<byte> RotateLeft(List<byte> bytes)
+        {
+            List<byte> bresult = new List<byte>();
+
+            bool prevHead = (bytes[bytes.Count - 1] & 0x80) != 0;
+
+            for (int i = 0; i < bytes.Count; i++)
+            {
+                byte newbyte = bytes[i];
+
+                newbyte = (byte)(newbyte * 2);
+                if (prevHead)
+                {
+                    newbyte += 1;
+                }
+
+                bresult.Add(newbyte);
+
+                prevHead = (bytes[i] & 0x80) != 0;
+            }
+
+            return bresult;
+        }
+
+
+        public static List<byte> RotateLeft(List<byte> bytes1, List<byte> bytes2)
+        {
+            List<byte> bytes1Copy = Copy(bytes1);
+            int byteShift = (int)new BigInteger(Divide(Copy(bytes2), new List<byte>(new byte[] { 8 })).ToArray());
+            sbyte bitShift = (sbyte)new BigInteger(Remainder(bytes2, new List<byte>(new byte[] { 8 })).ToArray());
+
+            Trim(bytes1);
+
+            byte fill = (bytes1[bytes1.Count - 1] & 0x80) != 0 ? byte.MaxValue : (byte)0;
+
+            if (fill == 0 && bytes1.Count > 1 && bytes1[bytes1.Count - 1] == 0)
+                bytes1.RemoveAt(bytes1.Count - 1);
+
+            while (bytes1.Count % 4 != 0)
+            {
+                bytes1.Add(fill);
+            }
+
+            byteShift %= bytes1.Count;
+            if (byteShift == 0 && bitShift == 0)
+                return bytes1Copy;
+
+            for (int i = 0; i < Math.Abs(bitShift); i++)
+            {
+                if (bitShift < 0)
+                {
+                    bytes1 = RotateRight(bytes1);
+                }
+                else
+                {
+                    bytes1 = RotateLeft(bytes1);
+                }
+            }
+
+            List<byte> temp = new List<byte>();
+            for (int i = 0; i < bytes1.Count; i++)
+            {
+                temp.Add(bytes1[(i - byteShift + bytes1.Count) % bytes1.Count]);
+            }
+            bytes1 = temp;
+
+            if (fill == 0)
+                bytes1.Add(0);
+
+            Trim(bytes1);
+
+            return bytes1;
+        }
+
         public static List<byte> SetLength(List<byte> bytes, int size)
         {
             List<byte> bresult = new List<byte>();
diff --git a/src/libraries/System.Runtime.Numerics/tests/BigInteger/Rotate.cs b/src/libraries/System.Runtime.Numerics/tests/BigInteger/Rotate.cs
new file mode 100644
index 00000000000000..564eb23935cda9
--- /dev/null
+++ b/src/libraries/System.Runtime.Numerics/tests/BigInteger/Rotate.cs
@@ -0,0 +1,629 @@
+// Licensed to the .NET Foundation under one or more agreements.
+// The .NET Foundation licenses this file to you under the MIT license.
+
+using System.Globalization;
+using Xunit;
+
+namespace System.Numerics.Tests
+{
+    public abstract class RotateTestBase
+    {
+        public abstract string opstring { get; }
+        private static int s_samples = 10;
+        private static Random s_random = new Random(100);
+
+        [Fact]
+        public void RunRotateTests()
+        {
+            byte[] tempByteArray1;
+            byte[] tempByteArray2;
+
+            // Rotate Method - Large BigIntegers - large + Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomByteArray(s_random);
+                tempByteArray2 = GetRandomPosByteArray(s_random, 2);
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - Large BigIntegers - small + Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomByteArray(s_random);
+                tempByteArray2 = new byte[] { (byte)s_random.Next(1, 32) };
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - Large BigIntegers - 32 bit Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomByteArray(s_random);
+                tempByteArray2 = new byte[] { (byte)32 };
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - All One Uint Large BigIntegers - 32 bit Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomLengthAllOnesUIntByteArray(s_random);
+                tempByteArray2 = new byte[] { (byte)32 };
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - Uint 0xffffffff 0x8000000 ... Large BigIntegers - 32 bit Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomLengthFirstUIntMaxSecondUIntMSBMaxArray(s_random);
+                tempByteArray2 = new byte[] { (byte)32 };
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - Large BigIntegers - large - Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomByteArray(s_random);
+                tempByteArray2 = GetRandomNegByteArray(s_random, 2);
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - Large BigIntegers - small - Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomByteArray(s_random);
+                tempByteArray2 = new byte[] { unchecked((byte)s_random.Next(-31, 0)) };
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - Large BigIntegers - -32 bit Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomByteArray(s_random);
+                tempByteArray2 = new byte[] { (byte)0xe0 };
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - Large BigIntegers - 0 bit Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomByteArray(s_random);
+                tempByteArray2 = new byte[] { (byte)0 };
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - Small BigIntegers - large + Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomByteArray(s_random, 2);
+                tempByteArray2 = GetRandomPosByteArray(s_random, 2);
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - Small BigIntegers - small + Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomByteArray(s_random, 2);
+                tempByteArray2 = new byte[] { (byte)s_random.Next(1, 32) };
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - Small BigIntegers - 32 bit Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomByteArray(s_random, 2);
+                tempByteArray2 = new byte[] { (byte)32 };
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+            // Rotate Method - Small BigIntegers - large - Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomByteArray(s_random, 2);
+                tempByteArray2 = GetRandomNegByteArray(s_random, 2);
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - Small BigIntegers - small - Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomByteArray(s_random, 2);
+                tempByteArray2 = new byte[] { unchecked((byte)s_random.Next(-31, 0)) };
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - Small BigIntegers - -32 bit Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomByteArray(s_random, 2);
+                tempByteArray2 = new byte[] { (byte)0xe0 };
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - Small BigIntegers - 0 bit Shift
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomByteArray(s_random, 2);
+                tempByteArray2 = new byte[] { (byte)0 };
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - Positive BigIntegers - Shift to 0
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomPosByteArray(s_random, 100);
+                tempByteArray2 = BitConverter.GetBytes(s_random.Next(8 * tempByteArray1.Length, 1000));
+                if (!BitConverter.IsLittleEndian)
+                {
+                    Array.Reverse(tempByteArray2);
+                }
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+
+            // Rotate Method - Negative BigIntegers - Shift to -1
+            for (int i = 0; i < s_samples; i++)
+            {
+                tempByteArray1 = GetRandomNegByteArray(s_random, 100);
+                tempByteArray2 = BitConverter.GetBytes(s_random.Next(8 * tempByteArray1.Length, 1000));
+                if (!BitConverter.IsLittleEndian)
+                {
+                    Array.Reverse(tempByteArray2);
+                }
+                VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+        }
+
+        [Fact]
+        public void RunSmallTests()
+        {
+            foreach (int i in new int[] {
+                0,
+                1,
+                    16,
+                    31,
+                    32,
+                    33,
+                    63,
+                    64,
+                    65,
+                    100,
+                    127,
+                    128,
+            })
+            {
+                foreach (int shift in new int[] {
+                    0,
+                    -1, 1,
+                    -16, 16,
+                    -31, 31,
+                    -32, 32,
+                    -33, 33,
+                    -63, 63,
+                    -64, 64,
+                    -65, 65,
+                    -100, 100,
+                    -127, 127,
+                    -128, 128,
+                })
+                {
+                    var num = Int128.One << i;
+                    for (int k = -1; k <= 1; k++)
+                    {
+                        foreach (int sign in new int[] { -1, +1 })
+                        {
+                            Int128 value128 = sign * (num + k);
+
+                            byte[] tempByteArray1 = GetRandomSmallByteArray(value128);
+                            byte[] tempByteArray2 = GetRandomSmallByteArray(shift);
+
+                            VerifyRotateString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+                        }
+                    }
+                }
+            }
+        }
+
+        private static void VerifyRotateString(string opstring)
+        {
+            StackCalc sc = new StackCalc(opstring);
+            while (sc.DoNextOperation())
+            {
+                Assert.Equal(sc.snCalc.Peek().ToString(), sc.myCalc.Peek().ToString());
+            }
+        }
+
+        private static byte[] GetRandomSmallByteArray(Int128 num)
+        {
+            byte[] value = new byte[16];
+
+            for (int i = 0; i < value.Length; i++)
+            {
+                value[i] = (byte)num;
+                num >>= 8;
+            }
+
+            return value;
+        }
+
+        private static byte[] GetRandomByteArray(Random random)
+        {
+            return GetRandomByteArray(random, random.Next(0, 1024));
+        }
+
+        private static byte[] GetRandomByteArray(Random random, int size)
+        {
+            return MyBigIntImp.GetRandomByteArray(random, size);
+        }
+
+        private static byte[] GetRandomPosByteArray(Random random, int size)
+        {
+            byte[] value = new byte[size];
+
+            for (int i = 0; i < value.Length; ++i)
+            {
+                value[i] = (byte)random.Next(0, 256);
+            }
+            value[value.Length - 1] &= 0x7F;
+
+            return value;
+        }
+
+        private static byte[] GetRandomNegByteArray(Random random, int size)
+        {
+            byte[] value = new byte[size];
+
+            for (int i = 0; i < value.Length; ++i)
+            {
+                value[i] = (byte)random.Next(0, 256);
+            }
+            value[value.Length - 1] |= 0x80;
+
+            return value;
+        }
+
+        private static byte[] GetRandomLengthAllOnesUIntByteArray(Random random)
+        {
+            int gap = random.Next(0, 128);
+            int byteLength = 4 + gap * 4 + 1;
+            byte[] array = new byte[byteLength];
+            array[0] = 1;
+            array[^1] = 0xFF;
+            return array;
+        }
+        private static byte[] GetRandomLengthFirstUIntMaxSecondUIntMSBMaxArray(Random random)
+        {
+            int gap = random.Next(0, 128);
+            int byteLength = 4 + gap * 4 + 1;
+            byte[] array = new byte[byteLength];
+            array[^5] = 0x80;
+            array[^1] = 0xFF;
+            return array;
+        }
+
+        private static string Print(byte[] bytes)
+        {
+            return MyBigIntImp.Print(bytes);
+        }
+    }
+
+    public class RotateLeftTest : RotateTestBase
+    {
+        public override string opstring => "bRotateLeft";
+
+
+        public static TheoryData<BigInteger, int, BigInteger> NegativeNumber_TestData = new TheoryData<BigInteger, int, BigInteger>
+        {
+
+            {
+                new BigInteger(unchecked((long)0xFFFF_FFFF_0000_0000)),
+                1,
+                new BigInteger(unchecked((long)0xFFFF_FFFE_0000_0001))
+            },
+            {
+                new BigInteger(unchecked((long)0xFFFF_FFFF_0000_0000)),
+                2,
+                new BigInteger(unchecked((long)0xFFFF_FFFC_0000_0003))
+            },
+            {
+                new BigInteger(unchecked((long)0xFFFF_FFFF_0000_0001)),
+                1,
+                new BigInteger(unchecked((long)0xFFFF_FFFE_0000_0003))
+            },
+            {
+                new BigInteger(unchecked((long)0xFFFF_FFFF_0000_0001)),
+                2,
+                new BigInteger(unchecked((long)0xFFFF_FFFC_0000_0007))
+            },
+            {
+                new BigInteger(unchecked((long)0xFFFF_FFFF_0000_0002)),
+                1,
+                new BigInteger(unchecked((long)0xFFFF_FFFE_0000_0005))
+            },
+            {
+                new BigInteger(unchecked((long)0xFFFF_FFFF_0000_0002)),
+                2,
+                new BigInteger(unchecked((long)0xFFFF_FFFC_0000_000B))
+            },
+
+            {
+                new BigInteger(unchecked((long)0x8000_0000_0000_0000)),
+                1,
+                new BigInteger(0x1)
+            },
+            {
+                new BigInteger(unchecked((long)0x8000_0000_0000_0000)),
+                2,
+                new BigInteger(0x2)
+            },
+            {
+                new BigInteger(unchecked((long)0x8000_0000_0000_0001)),
+                1,
+                new BigInteger(0x3)
+            },
+            {
+                new BigInteger(unchecked((long)0x8000_0000_0000_0001)),
+                2,
+                new BigInteger(0x6)
+            },
+            {
+                new BigInteger(unchecked((long)0x8000_0000_0000_0002)),
+                1,
+                new BigInteger(0x5)
+            },
+            {
+                new BigInteger(unchecked((long)0x8000_0000_0000_0002)),
+                2,
+                new BigInteger(0xA)
+            },
+
+            {
+                BigInteger.Parse("8000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber),
+                1,
+                new BigInteger(0x1)
+            },
+            {
+                BigInteger.Parse("8000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber),
+                2,
+                new BigInteger(0x2)
+            },
+            {
+                BigInteger.Parse("8000_0000_0000_0000_0000_0001".Replace("_", ""), NumberStyles.HexNumber),
+                1,
+                new BigInteger(0x3)
+            },
+            {
+                BigInteger.Parse("8000_0000_0000_0000_0000_0001".Replace("_", ""), NumberStyles.HexNumber),
+                2,
+                new BigInteger(0x6)
+            },
+            {
+                BigInteger.Parse("8000_0000_0000_0000_0000_0002".Replace("_", ""), NumberStyles.HexNumber),
+                1,
+                new BigInteger(0x5)
+            },
+            {
+                BigInteger.Parse("8000_0000_0000_0000_0000_0002".Replace("_", ""), NumberStyles.HexNumber),
+                2,
+                new BigInteger(0xA)
+            },
+
+            {
+                BigInteger.Parse("________F_0000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber),
+                1,
+                BigInteger.Parse("________E_0000_0000_0000_0000_0000_0001".Replace("_", ""), NumberStyles.HexNumber)
+            },
+            {
+                BigInteger.Parse("________F_0000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber),
+                2,
+                BigInteger.Parse("________C_0000_0000_0000_0000_0000_0003".Replace("_", ""), NumberStyles.HexNumber)
+            },
+            {
+                BigInteger.Parse("________F_0000_0000_0000_0000_0000_0001".Replace("_", ""), NumberStyles.HexNumber),
+                1,
+                BigInteger.Parse("________E_0000_0000_0000_0000_0000_0003".Replace("_", ""), NumberStyles.HexNumber)
+            },
+            {
+                BigInteger.Parse("________F_0000_0000_0000_0000_0000_0001".Replace("_", ""), NumberStyles.HexNumber),
+                2,
+                BigInteger.Parse("________C_0000_0000_0000_0000_0000_0007".Replace("_", ""), NumberStyles.HexNumber)
+            },
+            {
+                BigInteger.Parse("________F_0000_0000_0000_0000_0000_0002".Replace("_", ""), NumberStyles.HexNumber),
+                1,
+                BigInteger.Parse("________E_0000_0000_0000_0000_0000_0005".Replace("_", ""), NumberStyles.HexNumber)
+            },
+            {
+                BigInteger.Parse("________F_0000_0000_0000_0000_0000_0002".Replace("_", ""), NumberStyles.HexNumber),
+                2,
+                BigInteger.Parse("________C_0000_0000_0000_0000_0000_000B".Replace("_", ""), NumberStyles.HexNumber)
+            },
+        };
+
+        [Theory]
+        [MemberData(nameof(NegativeNumber_TestData))]
+        public void NegativeNumber(BigInteger input, int rotateAmount, BigInteger expected)
+        {
+            Assert.Equal(expected, BigInteger.RotateLeft(input, rotateAmount));
+        }
+
+        [Fact]
+        public void PowerOfTwo()
+        {
+            for (int i = 0; i < 32; i++)
+            {
+                foreach (int k in new int[] { 1, 2, 3, 10 })
+                {
+                    BigInteger plus = BigInteger.One << (32 * k + i);
+                    BigInteger minus = BigInteger.MinusOne << (32 * k + i);
+
+                    Assert.Equal(BigInteger.One << (i == 31 ? 0 : (32 * k + i + 1)), BigInteger.RotateLeft(plus, 1));
+                    Assert.Equal(BigInteger.One << i, BigInteger.RotateLeft(plus, 32));
+                    Assert.Equal(BigInteger.One << (32 * (k - 1) + i), BigInteger.RotateLeft(plus, 32 * k));
+
+                    Assert.Equal(i == 31 ? BigInteger.One : (new BigInteger(-1 << (i + 1)) << 32 * k) + 1,
+                        BigInteger.RotateLeft(minus, 1));
+                    Assert.Equal(new BigInteger(uint.MaxValue << i), BigInteger.RotateLeft(minus, 32));
+                    Assert.Equal(new BigInteger(uint.MaxValue << i) << (32 * (k - 1)), BigInteger.RotateLeft(minus, 32 * k));
+                }
+            }
+        }
+    }
+
+    public class RotateRightTest : RotateTestBase
+    {
+        public override string opstring => "bRotateRight";
+
+        public static TheoryData<BigInteger, int, BigInteger> NegativeNumber_TestData = new TheoryData<BigInteger, int, BigInteger>
+        {
+
+            {
+                new BigInteger(unchecked((long)0xFFFF_FFFF_0000_0000)),
+                1,
+                new BigInteger(unchecked((long)0x7FFF_FFFF_8000_0000))
+            },
+            {
+                new BigInteger(unchecked((long)0xFFFF_FFFF_0000_0000)),
+                2,
+                new BigInteger(unchecked((long)0x3FFF_FFFF_C000_0000))
+            },
+            {
+                new BigInteger(unchecked((long)0xFFFF_FFFF_0000_0001)),
+                1,
+                new BigInteger(unchecked((int)0x8000_0000))
+            },
+            {
+                new BigInteger(unchecked((long)0xFFFF_FFFF_0000_0001)),
+                2,
+                new BigInteger(unchecked((long)0x7FFF_FFFF_C000_0000))
+            },
+            {
+                new BigInteger(unchecked((long)0xFFFF_FFFF_0000_0002)),
+                1,
+                new BigInteger(unchecked((long)0x7FFF_FFFF_8000_0001))
+            },
+            {
+                new BigInteger(unchecked((long)0xFFFF_FFFF_0000_0002)),
+                2,
+                new BigInteger(unchecked((long)0xBFFF_FFFF_C000_0000))
+            },
+
+            {
+                new BigInteger(unchecked((long)0x8000_0000_0000_0000)),
+                1,
+                new BigInteger(unchecked((long)0x4000_0000_0000_0000))
+            },
+            {
+                new BigInteger(unchecked((long)0x8000_0000_0000_0000)),
+                2,
+                new BigInteger(unchecked((long)0x2000_0000_0000_0000))
+            },
+            {
+                new BigInteger(unchecked((long)0x8000_0000_0000_0001)),
+                1,
+                new BigInteger(unchecked((long)0xC000_0000_0000_0000))
+            },
+            {
+                new BigInteger(unchecked((long)0x8000_0000_0000_0001)),
+                2,
+                new BigInteger(unchecked((long)0x6000_0000_0000_0000))
+            },
+            {
+                new BigInteger(unchecked((long)0x8000_0000_0000_0002)),
+                1,
+                new BigInteger(unchecked((long)0x4000_0000_0000_0001))
+            },
+            {
+                new BigInteger(unchecked((long)0x8000_0000_0000_0002)),
+                2,
+                new BigInteger(unchecked((long)0xA000_0000_0000_0000))
+            },
+
+            {
+                BigInteger.Parse("8000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber),
+                1,
+                BigInteger.Parse("4000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber)
+            },
+            {
+                BigInteger.Parse("8000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber),
+                2,
+                BigInteger.Parse("2000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber)
+            },
+            {
+                BigInteger.Parse("8000_0000_0000_0000_0000_0001".Replace("_", ""), NumberStyles.HexNumber),
+                1,
+                BigInteger.Parse("C000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber)
+            },
+            {
+                BigInteger.Parse("8000_0000_0000_0000_0000_0001".Replace("_", ""), NumberStyles.HexNumber),
+                2,
+                BigInteger.Parse("6000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber)
+            },
+            {
+                BigInteger.Parse("8000_0000_0000_0000_0000_0002".Replace("_", ""), NumberStyles.HexNumber),
+                1,
+                BigInteger.Parse("4000_0000_0000_0000_0000_0001".Replace("_", ""), NumberStyles.HexNumber)
+            },
+            {
+                BigInteger.Parse("8000_0000_0000_0000_0000_0002".Replace("_", ""), NumberStyles.HexNumber),
+                2,
+                BigInteger.Parse("A000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber)
+            },
+
+            {
+                BigInteger.Parse("________F_0000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber),
+                1,
+                BigInteger.Parse("7FFF_FFFF_8000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber)
+            },
+            {
+                BigInteger.Parse("________F_0000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber),
+                2,
+                BigInteger.Parse("3FFF_FFFF_C000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber)
+            },
+            {
+                BigInteger.Parse("________F_0000_0000_0000_0000_0000_0001".Replace("_", ""), NumberStyles.HexNumber),
+                1,
+                BigInteger.Parse("__________8000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber)
+            },
+            {
+                BigInteger.Parse("________F_0000_0000_0000_0000_0000_0001".Replace("_", ""), NumberStyles.HexNumber),
+                2,
+                BigInteger.Parse("7FFF_FFFF_C000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber)
+            },
+            {
+                BigInteger.Parse("________F_0000_0000_0000_0000_0000_0002".Replace("_", ""), NumberStyles.HexNumber),
+                1,
+                BigInteger.Parse("7FFF_FFFF_8000_0000_0000_0000_0000_0001".Replace("_", ""), NumberStyles.HexNumber)
+            },
+            {
+                BigInteger.Parse("________F_0000_0000_0000_0000_0000_0002".Replace("_", ""), NumberStyles.HexNumber),
+                2,
+                BigInteger.Parse("BFFF_FFFF_C000_0000_0000_0000_0000_0000".Replace("_", ""), NumberStyles.HexNumber)
+            },
+        };
+
+        [Theory]
+        [MemberData(nameof(NegativeNumber_TestData))]
+        public void NegativeNumber(BigInteger input, int rotateAmount, BigInteger expected)
+        {
+            Assert.Equal(expected, BigInteger.RotateRight(input, rotateAmount));
+        }
+
+        [Fact]
+        public void PowerOfTwo()
+        {
+            for (int i = 0; i < 32; i++)
+            {
+                foreach (int k in new int[] { 1, 2, 3, 10 })
+                {
+                    BigInteger plus = BigInteger.One << (32 * k + i);
+                    BigInteger minus = BigInteger.MinusOne << (32 * k + i);
+
+                    Assert.Equal(BigInteger.One << (32 * k + i - 1), BigInteger.RotateRight(plus, 1));
+                    Assert.Equal(BigInteger.One << (32 * (k - 1) + i), BigInteger.RotateRight(plus, 32));
+                    Assert.Equal(BigInteger.One << i, BigInteger.RotateRight(plus, 32 * k));
+
+                    Assert.Equal(new BigInteger(uint.MaxValue << i) << (32 * k - 1), BigInteger.RotateRight(minus, 1));
+                    Assert.Equal(new BigInteger(uint.MaxValue << i) << (32 * (k - 1)), BigInteger.RotateRight(minus, 32));
+                    Assert.Equal(new BigInteger(uint.MaxValue << i), BigInteger.RotateRight(minus, 32 * k));
+                }
+            }
+        }
+    }
+}
diff --git a/src/libraries/System.Runtime.Numerics/tests/BigInteger/op_leftshift.cs b/src/libraries/System.Runtime.Numerics/tests/BigInteger/op_leftshift.cs
index 47b0a8ea7678cd..6c278bb63edb6e 100644
--- a/src/libraries/System.Runtime.Numerics/tests/BigInteger/op_leftshift.cs
+++ b/src/libraries/System.Runtime.Numerics/tests/BigInteger/op_leftshift.cs
@@ -1,6 +1,7 @@
 // Licensed to the .NET Foundation under one or more agreements.
 // The .NET Foundation licenses this file to you under the MIT license.
 
+using System.Collections.Generic;
 using Xunit;
 
 namespace System.Numerics.Tests
@@ -151,6 +152,56 @@ public static void RunLeftShiftTests()
             }
         }
 
+        [Fact]
+        public void RunSmallTests()
+        {
+            foreach (int i in new int[] {
+                    0,
+                    1,
+                    16,
+                    31,
+                    32,
+                    33,
+                    63,
+                    64,
+                    65,
+                    100,
+                    127,
+                    128,
+            })
+            {
+                foreach (int shift in new int[] {
+                    0,
+                    -1, 1,
+                    -16, 16,
+                    -31, 31,
+                    -32, 32,
+                    -33, 33,
+                    -63, 63,
+                    -64, 64,
+                    -65, 65,
+                    -100, 100,
+                    -127, 127,
+                    -128, 128,
+                })
+                {
+                    var num = Int128.One << i;
+                    for (int k = -1; k <= 1; k++)
+                    {
+                        foreach (int sign in new int[] { -1, +1 })
+                        {
+                            Int128 value128 = sign * (num + k);
+
+                            byte[] tempByteArray1 = GetRandomSmallByteArray(value128);
+                            byte[] tempByteArray2 = GetRandomSmallByteArray(shift);
+
+                            VerifyLeftShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b<<");
+                        }
+                    }
+                }
+            }
+        }
+
         private static void VerifyLeftShiftString(string opstring)
         {
             StackCalc sc = new StackCalc(opstring);
@@ -160,6 +211,19 @@ private static void VerifyLeftShiftString(string opstring)
             }
         }
 
+        private static byte[] GetRandomSmallByteArray(Int128 num)
+        {
+            byte[] value = new byte[16];
+
+            for (int i = 0; i < value.Length; i++)
+            {
+                value[i] = (byte)num;
+                num >>= 8;
+            }
+
+            return value;
+        }
+
         private static byte[] GetRandomByteArray(Random random)
         {
             return GetRandomByteArray(random, random.Next(0, 1024));
diff --git a/src/libraries/System.Runtime.Numerics/tests/BigInteger/op_rightshift.cs b/src/libraries/System.Runtime.Numerics/tests/BigInteger/op_rightshift.cs
index da6ac2615b9c1b..c725d52bc0ba4c 100644
--- a/src/libraries/System.Runtime.Numerics/tests/BigInteger/op_rightshift.cs
+++ b/src/libraries/System.Runtime.Numerics/tests/BigInteger/op_rightshift.cs
@@ -1,90 +1,29 @@
 // Licensed to the .NET Foundation under one or more agreements.
 // The .NET Foundation licenses this file to you under the MIT license.
 
+using System.Collections.Generic;
 using Xunit;
 
 namespace System.Numerics.Tests
 {
-    public class op_rightshiftTest
+    public abstract class op_rightshiftTestBase
     {
+        public abstract string opstring { get; }
         private static int s_samples = 10;
         private static Random s_random = new Random(100);
 
         [Fact]
-        public static void BigShiftsTest()
-        {
-            BigInteger a = new BigInteger(1);
-            BigInteger b = new BigInteger(Math.Pow(2, 31));
-
-            for (int i = 0; i < 100; i++)
-            {
-                BigInteger a1 = (a << (i + 31));
-                BigInteger a2 = a1 >> i;
-
-                Assert.Equal(b, a2);
-            }
-        }
-
-        [ConditionalFact(typeof(PlatformDetection), nameof(PlatformDetection.Is64BitProcess))] // May fail on 32-bit due to a large memory requirement
-        public static void LargeNegativeBigIntegerShiftTest()
-        {
-            // Create a very large negative BigInteger
-            BigInteger bigInt = new BigInteger(-1) << int.MaxValue;
-            Assert.Equal(2147483647, bigInt.GetBitLength());
-            Assert.Equal(-1, bigInt.Sign);
-
-            // Validate internal representation.
-            // At this point, bigInt should be a 1 followed by int.MaxValue zeros.
-            // Given this, bigInt._bits is expected to be structured as follows:
-            // - _bits.Length == (int.MaxValue + 1) / (8 * sizeof(uint))
-            // - First (_bits.Length - 1) elements: 0x00000000
-            // - Last element: 0x80000000
-            //                   ^------ (There's the leading '1')
-
-            Assert.Equal(((uint)int.MaxValue + 1) / (8 * sizeof(uint)), (uint)bigInt._bits.Length);
-
-            uint i = 0;
-            for (; i < (bigInt._bits.Length - 1); i++) {
-                Assert.Equal(0x00000000u, bigInt._bits[i]);
-            }
-
-            Assert.Equal(0x80000000u, bigInt._bits[i]);
-
-            // Right shift the BigInteger
-            BigInteger shiftedBigInt = bigInt >> 1;
-            Assert.Equal(2147483646, shiftedBigInt.GetBitLength());
-            Assert.Equal(-1, shiftedBigInt.Sign);
-
-            // Validate internal representation.
-            // At this point, shiftedBigInt should be a 1 followed by int.MaxValue - 1 zeros.
-            // Given this, shiftedBigInt._bits is expected to be structured as follows:
-            // - _bits.Length == (int.MaxValue + 1) / (8 * sizeof(uint))
-            // - First (_bits.Length - 1) elements: 0x00000000
-            // - Last element: 0x40000000
-            //                   ^------ (the '1' is now one position to the right)
-
-            Assert.Equal(((uint)int.MaxValue + 1) / (8 * sizeof(uint)), (uint)shiftedBigInt._bits.Length);
-
-            i = 0;
-            for (; i < (shiftedBigInt._bits.Length - 1); i++) {
-                Assert.Equal(0x00000000u, shiftedBigInt._bits[i]);
-            }
-
-            Assert.Equal(0x40000000u, shiftedBigInt._bits[i]);
-        }
-
-        [Fact]
-        public static void RunRightShiftTests()
+        public void RunRightShiftTests()
         {
-            byte[] tempByteArray1 = new byte[0];
-            byte[] tempByteArray2 = new byte[0];
+            byte[] tempByteArray1;
+            byte[] tempByteArray2;
 
             // RightShift Method - Large BigIntegers - large + Shift
             for (int i = 0; i < s_samples; i++)
             {
                 tempByteArray1 = GetRandomByteArray(s_random);
                 tempByteArray2 = GetRandomPosByteArray(s_random, 2);
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - Large BigIntegers - small + Shift
@@ -92,7 +31,7 @@ public static void RunRightShiftTests()
             {
                 tempByteArray1 = GetRandomByteArray(s_random);
                 tempByteArray2 = new byte[] { (byte)s_random.Next(1, 32) };
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - Large BigIntegers - 32 bit Shift
@@ -100,7 +39,7 @@ public static void RunRightShiftTests()
             {
                 tempByteArray1 = GetRandomByteArray(s_random);
                 tempByteArray2 = new byte[] { (byte)32 };
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - All One Uint Large BigIntegers - 32 bit Shift
@@ -108,7 +47,7 @@ public static void RunRightShiftTests()
             {
                 tempByteArray1 = GetRandomLengthAllOnesUIntByteArray(s_random);
                 tempByteArray2 = new byte[] { (byte)32 };
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - Uint 0xffffffff 0x8000000 ... Large BigIntegers - 32 bit Shift
@@ -116,7 +55,7 @@ public static void RunRightShiftTests()
             {
                 tempByteArray1 = GetRandomLengthFirstUIntMaxSecondUIntMSBMaxArray(s_random);
                 tempByteArray2 = new byte[] { (byte)32 };
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - Large BigIntegers - large - Shift
@@ -124,7 +63,7 @@ public static void RunRightShiftTests()
             {
                 tempByteArray1 = GetRandomByteArray(s_random);
                 tempByteArray2 = GetRandomNegByteArray(s_random, 2);
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - Large BigIntegers - small - Shift
@@ -132,7 +71,7 @@ public static void RunRightShiftTests()
             {
                 tempByteArray1 = GetRandomByteArray(s_random);
                 tempByteArray2 = new byte[] { unchecked((byte)s_random.Next(-31, 0)) };
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - Large BigIntegers - -32 bit Shift
@@ -140,7 +79,7 @@ public static void RunRightShiftTests()
             {
                 tempByteArray1 = GetRandomByteArray(s_random);
                 tempByteArray2 = new byte[] { (byte)0xe0 };
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - Large BigIntegers - 0 bit Shift
@@ -148,7 +87,7 @@ public static void RunRightShiftTests()
             {
                 tempByteArray1 = GetRandomByteArray(s_random);
                 tempByteArray2 = new byte[] { (byte)0 };
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - Small BigIntegers - large + Shift
@@ -156,7 +95,7 @@ public static void RunRightShiftTests()
             {
                 tempByteArray1 = GetRandomByteArray(s_random, 2);
                 tempByteArray2 = GetRandomPosByteArray(s_random, 2);
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - Small BigIntegers - small + Shift
@@ -164,7 +103,7 @@ public static void RunRightShiftTests()
             {
                 tempByteArray1 = GetRandomByteArray(s_random, 2);
                 tempByteArray2 = new byte[] { (byte)s_random.Next(1, 32) };
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - Small BigIntegers - 32 bit Shift
@@ -172,14 +111,14 @@ public static void RunRightShiftTests()
             {
                 tempByteArray1 = GetRandomByteArray(s_random, 2);
                 tempByteArray2 = new byte[] { (byte)32 };
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
             // RightShift Method - Small BigIntegers - large - Shift
             for (int i = 0; i < s_samples; i++)
             {
                 tempByteArray1 = GetRandomByteArray(s_random, 2);
                 tempByteArray2 = GetRandomNegByteArray(s_random, 2);
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - Small BigIntegers - small - Shift
@@ -187,7 +126,7 @@ public static void RunRightShiftTests()
             {
                 tempByteArray1 = GetRandomByteArray(s_random, 2);
                 tempByteArray2 = new byte[] { unchecked((byte)s_random.Next(-31, 0)) };
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - Small BigIntegers - -32 bit Shift
@@ -195,7 +134,7 @@ public static void RunRightShiftTests()
             {
                 tempByteArray1 = GetRandomByteArray(s_random, 2);
                 tempByteArray2 = new byte[] { (byte)0xe0 };
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - Small BigIntegers - 0 bit Shift
@@ -203,7 +142,7 @@ public static void RunRightShiftTests()
             {
                 tempByteArray1 = GetRandomByteArray(s_random, 2);
                 tempByteArray2 = new byte[] { (byte)0 };
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - Positive BigIntegers - Shift to 0
@@ -215,7 +154,7 @@ public static void RunRightShiftTests()
                 {
                     Array.Reverse(tempByteArray2);
                 }
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
             }
 
             // RightShift Method - Negative BigIntegers - Shift to -1
@@ -227,7 +166,57 @@ public static void RunRightShiftTests()
                 {
                     Array.Reverse(tempByteArray2);
                 }
-                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + "b>>");
+                VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+            }
+        }
+
+        [Fact]
+        public void RunSmallTests()
+        {
+            foreach (int i in new int[] {
+                    0,
+                    1,
+                    16,
+                    31,
+                    32,
+                    33,
+                    63,
+                    64,
+                    65,
+                    100,
+                    127,
+                    128,
+            })
+            {
+                foreach (int shift in new int[] {
+                    0,
+                    -1, 1,
+                    -16, 16,
+                    -31, 31,
+                    -32, 32,
+                    -33, 33,
+                    -63, 63,
+                    -64, 64,
+                    -65, 65,
+                    -100, 100,
+                    -127, 127,
+                    -128, 128,
+                })
+                {
+                    var num = Int128.One << i;
+                    for (int k = -1; k <= 1; k++)
+                    {
+                        foreach (int sign in new int[] { -1, +1 })
+                        {
+                            Int128 value128 = sign * (num + k);
+
+                            byte[] tempByteArray1 = GetRandomSmallByteArray(value128);
+                            byte[] tempByteArray2 = GetRandomSmallByteArray(shift);
+
+                            VerifyRightShiftString(Print(tempByteArray2) + Print(tempByteArray1) + opstring);
+                        }
+                    }
+                }
             }
         }
 
@@ -240,6 +229,19 @@ private static void VerifyRightShiftString(string opstring)
             }
         }
 
+        private static byte[] GetRandomSmallByteArray(Int128 num)
+        {
+            byte[] value = new byte[16];
+
+            for (int i = 0; i < value.Length; i++)
+            {
+                value[i] = (byte)num;
+                num >>= 8;
+            }
+
+            return value;
+        }
+
         private static byte[] GetRandomByteArray(Random random)
         {
             return GetRandomByteArray(random, random.Next(0, 1024));
@@ -290,7 +292,7 @@ private static byte[] GetRandomLengthFirstUIntMaxSecondUIntMSBMaxArray(Random ra
             int gap = random.Next(0, 128);
             int byteLength = 4 + gap * 4 + 1;
             byte[] array = new byte[byteLength];
-            array[^6] = 0x80;
+            array[^5] = 0x80;
             array[^1] = 0xFF;
             return array;
         }
@@ -300,4 +302,93 @@ private static string Print(byte[] bytes)
             return MyBigIntImp.Print(bytes);
         }
     }
+    public class op_rightshiftTest : op_rightshiftTestBase
+    {
+        public override string opstring => "b>>";
+
+        [Fact]
+        public static void BigShiftsTest()
+        {
+            BigInteger a = new BigInteger(1);
+            BigInteger b = new BigInteger(Math.Pow(2, 31));
+
+            for (int i = 0; i < 100; i++)
+            {
+                BigInteger a1 = (a << (i + 31));
+                BigInteger a2 = a1 >> i;
+
+                Assert.Equal(b, a2);
+            }
+        }
+
+        [ConditionalFact(typeof(PlatformDetection), nameof(PlatformDetection.Is64BitProcess))] // May fail on 32-bit due to a large memory requirement
+        public static void LargeNegativeBigIntegerShiftTest()
+        {
+            // Create a very large negative BigInteger
+            int bitsPerElement = 8 * sizeof(uint);
+            int maxBitLength = ((Array.MaxLength / bitsPerElement) * bitsPerElement);
+            BigInteger bigInt = new BigInteger(-1) << (maxBitLength - 1);
+            Assert.Equal(maxBitLength - 1, bigInt.GetBitLength());
+            Assert.Equal(-1, bigInt.Sign);
+
+            // Validate internal representation.
+            // At this point, bigInt should be a 1 followed by maxBitLength - 1 zeros.
+            // Given this, bigInt._bits is expected to be structured as follows:
+            // - _bits.Length == ceil(maxBitLength / bitsPerElement)
+            // - First (_bits.Length - 1) elements: 0x00000000
+            // - Last element: 0x80000000
+            //                   ^------ (There's the leading '1')
+
+            Assert.Equal((maxBitLength + (bitsPerElement - 1)) / bitsPerElement, bigInt._bits.Length);
+
+            uint i = 0;
+            for (; i < (bigInt._bits.Length - 1); i++)
+            {
+                Assert.Equal(0x00000000u, bigInt._bits[i]);
+            }
+
+            Assert.Equal(0x80000000u, bigInt._bits[i]);
+
+            // Right shift the BigInteger
+            BigInteger shiftedBigInt = bigInt >> 1;
+            Assert.Equal(maxBitLength - 2, shiftedBigInt.GetBitLength());
+            Assert.Equal(-1, shiftedBigInt.Sign);
+
+            // Validate internal representation.
+            // At this point, shiftedBigInt should be a 1 followed by maxBitLength - 2 zeros.
+            // Given this, shiftedBigInt._bits is expected to be structured as follows:
+            // - _bits.Length == ceil((maxBitLength - 1) / bitsPerElement)
+            // - First (_bits.Length - 1) elements: 0x00000000
+            // - Last element: 0x40000000
+            //                   ^------ (the '1' is now one position to the right)
+
+            Assert.Equal(((maxBitLength - 1) + (bitsPerElement - 1)) / bitsPerElement, shiftedBigInt._bits.Length);
+
+            i = 0;
+            for (; i < (shiftedBigInt._bits.Length - 1); i++)
+            {
+                Assert.Equal(0x00000000u, shiftedBigInt._bits[i]);
+            }
+
+            Assert.Equal(0x40000000u, shiftedBigInt._bits[i]);
+        }
+    }
+
+    public class op_UnsignedRightshiftTest : op_rightshiftTestBase
+    {
+        public override string opstring => "b>>>";
+
+        [Fact]
+        public void PowerOfTwo()
+        {
+            for (int i = 0; i < 32; i++)
+            {
+                foreach (int k in new int[] { 1, 2, 10 })
+                {
+                    Assert.Equal(BigInteger.One << i, (BigInteger.One << (32 * k + i)) >>> (32 * k));
+                    Assert.Equal(new BigInteger(unchecked((int)(uint.MaxValue << i))), (BigInteger.MinusOne << (32 * k + i)) >>> (32 * k));
+                }
+            }
+        }
+    }
 }
diff --git a/src/libraries/System.Runtime.Numerics/tests/BigInteger/stackcalculator.cs b/src/libraries/System.Runtime.Numerics/tests/BigInteger/stackcalculator.cs
index c53e87a15a234f..cbd2a04127ef7f 100644
--- a/src/libraries/System.Runtime.Numerics/tests/BigInteger/stackcalculator.cs
+++ b/src/libraries/System.Runtime.Numerics/tests/BigInteger/stackcalculator.cs
@@ -191,8 +191,14 @@ private BigInteger DoBinaryOperatorSN(BigInteger num1, BigInteger num2, string o
                     return BigInteger.Max(num1, num2);
                 case "b>>":
                     return num1 >> (int)num2;
+                case "b>>>":
+                    return num1 >>> (int)num2;
                 case "b<<":
                     return num1 << (int)num2;
+                case "bRotateLeft":
+                    return BigInteger.RotateLeft(num1, (int)num2);
+                case "bRotateRight":
+                    return BigInteger.RotateRight(num1, (int)num2);
                 case "b^":
                     return num1 ^ num2;
                 case "b|":
@@ -254,7 +260,7 @@ public void VerifyOutParameter()
 
         private static string Print(byte[] bytes)
         {
-           return MyBigIntImp.PrintFormatX(bytes);
+            return MyBigIntImp.PrintFormatX(bytes);
         }
     }
 }
diff --git a/src/libraries/System.Runtime.Numerics/tests/System.Runtime.Numerics.Tests.csproj b/src/libraries/System.Runtime.Numerics/tests/System.Runtime.Numerics.Tests.csproj
index 0716f70c88e651..49ded253d98507 100644
--- a/src/libraries/System.Runtime.Numerics/tests/System.Runtime.Numerics.Tests.csproj
+++ b/src/libraries/System.Runtime.Numerics/tests/System.Runtime.Numerics.Tests.csproj
@@ -43,6 +43,7 @@
     <Compile Include="BigInteger\op_multiply.cs" />
     <Compile Include="BigInteger\op_not.cs" />
     <Compile Include="BigInteger\op_or.cs" />
+    <Compile Include="BigInteger\Rotate.cs" />
     <Compile Include="BigInteger\op_rightshift.cs" />
     <Compile Include="BigInteger\op_xor.cs" />
     <Compile Include="BigInteger\parse.cs" />