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<p>A mixed radix representation is a positional numeral system, that's a generalization of the typical number systems, like the binary numeral system or the decimal numeral system.
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For instance the decimal numeral system is a positional numeral system with the radix (or base) 10.
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Every a number is represented as a string of digits <spanclass="arithmatex">$d_1 d_2 d_3 \dots d_n$</span> between <spanclass="arithmatex">$0$</span> and <spanclass="arithmatex">$9$</span>, and
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E.g. the string <spanclass="arithmatex">$415$</span> represents the number <spanclass="arithmatex">$4 \cdot 10^2 + 1 \cdot 10^1 + 5 \cdot 10^0$</span>.
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For instance, the decimal numeral system is a positional numeral system with the radix (or base) 10.
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Every number is represented as a string of digits <spanclass="arithmatex">$d_1 d_2 d_3 \dots d_n$</span> between <spanclass="arithmatex">$0$</span> and <spanclass="arithmatex">$9$</span>. For example, the string <spanclass="arithmatex">$415$</span> represents the number <spanclass="arithmatex">$4 \cdot 10^2 + 1 \cdot 10^1 + 5 \cdot 10^0$</span>.
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In general the string of digits <spanclass="arithmatex">$d_1 d_2 d_3 \dots d_n$</span> represents the number <spanclass="arithmatex">$d_1 b^{n-1} + d_2 b^{n-2} + \cdots + d_n b^0$</span> in the positional numeral system with radix <spanclass="arithmatex">$b$</span>.</p>
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<p>In a mixed radix system, we don't have one radix any more. The base varies from position to position.</p>
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