Modular Exponentiation (PowMod)

Calculator and formula for calculating the modular exponentiation (PowMod)


This calculator supplies the result of the modular exponentiation (PowMod) function. The result is the remainder of a division of \(\displaystyle b^{x}\) by \(\displaystyle m\).

To calculate, enter the base, the exponent and the modulo, then click on the 'Calculate' button.


Modular exponentiation calculator

 Input
Base b
Exponent e
Modulo m
Decimal places
 Result
Remainder

Formula for modular exponentiation


\(\displaystyle x= b^e \hspace{8px} mod \hspace{8px} m \)

Example

\(\displaystyle x= 4^2 \hspace{8px} mod \hspace{8px} 10 \)
\(\displaystyle x= 16 \hspace{8px} mod \hspace{8px} 10 =6 \)

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