Modular Exponentiation (PowMod)

Calculator and formula for calculating the modular exponentiation (PowMod)

Modular Exponentiation berechnen


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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