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Hexadecimal to Octal Conversion
Hexadecimal to Octal Conversion
The hexadecimal to octal conversion can be perform in the same way as the octal to hexadecimal as explained above. To convert a given hexadecimal number to octal number, we first convert the given hexadecimal number to binary and then the binary number to the octal.
The step-by-step procedure to convert a hexadecimal number to its equivalent octal number is explained below −
Step 1 − Convert each hexadecimal digit to its equivalent 4-bit binary.
Step 2 − Make groups of 3-bits each of the obtained binary number.
Step 3 − Convert each 3-bit binary group to its equivalent octal number.
The following examples demonstrate the method of converting a given hexadecimal number to its equivalent octal number.
Example 1
Convert (B3A9.5F)16 to octal.
Solution
The conversion of the given hexadecimal number to its equivalent octal number is explained below −
| Hex Digits | B | 3 | A | 9 | . | 5 | F | |||
| 4-bit Binary | 1011 | 0011 | 1010 | 1001 | . | 0101 | 1111 | |||
| 3-bit Binary | 001 | 011 | 001 | 110 | 101 | 001 | . | 010 | 111 | 110 |
| Octal Digits | 1 | 3 | 1 | 6 | 5 | 1 | . | 2 | 7 | 6 |
Thus, the octal equivalent of the given hexadecimal number is (131651.276)8.
Example 2
Convert (AC.F)16 to octal.
Solution
The conversion of given hexadecimal number to its equivalent octal number is demonstrated below −
| Hex Digits | A | C | . | F | ||
| 10 | 12 | . | 15 | |||
| 4-bit Binary | 1010 | 1100 | . | 1111 | ||
| 3-bit Binary | 010 | 101 | 100 | . | 111 | 100 |
| Octal Digits | 2 | 5 | 4 | . | 7 | 4 |
Hence, the octal equivalent of the given hexadecimal number is (254.74)8.