## Modulo N Calculator

Tool to compute any modulo operation. Modulo is the name of the calculus of the remainder in the Euclidian division

## Results

Modulo N Calculator -

Tag(s) : Arithmetics,Mathematics

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# Modulo N Calculator

## Modular Calculus a mod n

Also on dCode: Euclidian Division

### Modular Exponentiation Calculus a^b mod n

Also on dCode: Modular Exponentiation

Tool to compute any modulo operation. Modulo is the name of the calculus of the remainder in the Euclidian division

### How to calculate a Modulo?

The program make the euclidian Division and return the remainder value. This apply to big numbers, as with decimal numbers. however, N must be an integer.

123 modulo 10 = 3 because 123 = 12*10 + 3

You can consider also negative modulos (rare)

123 modulo 10 = -7 beacause 123 = 13*10 - 7

### How to write a modulo?

A modulo calculation can be written differently:

In Mathematics you can write it using the $$\equiv$$ congruence symbol and the keyword mod :

$$123 \ equiv 3 \mod 10$$

For computer and keyboard writings (on internet) you can write the % percentage symbol:

$$123 \% 10 = 3$$

### How to calculate a^b mod n?

This calculus is named exponentiation-calculus" target="_blank">modular exponentiation, use the dCode page dedicated to exponentiation-calculus" target="_blank">modular exponentiation.