# Modulus Calculator Online

### Modulo Calculator Description

The formula for calculating Modulo is

or

Dividend % Divisor = Remainder

**Example of Calculations: **

Dividend: 12

Divisor : 2

Result: (12/2) = 0 Remainder

### Modulo Calculator Explanation

#### Explanation:

The math operation which is perform to find out the remainder when one number is divided by another
number or you can say when we perform division operation, the remainder which we found is modulo. It
is commonly written as mod or symbolized with the symbol %.

For example, we have two integer x and y.

So it is written as x mod y = r

where x is the dividend and b is the divisor(or you can say modulus) and r is the remainder

#### Modular arithmetic & cryptography:

The area of mathematics that deals with these operations, where values "wrap around" (reset to zero) when they approach a modulus value, is known as modular arithmetic. Modular arithmetic is particularly essential in the world of cryptography, which encrypts/encodes information using modulo operations with really large modulus.

#### Manual Calculations (Modulo)

- Suppose we have a 13 mod 3.
- Now here 13 is dividend and 3 is the divisor.
- When 13 is divided by 3, It gives remainder 1, which means 13 mod 3 = 1 because 3 x 4 =12 => 13-12 = 1
- So, the answer is 13 mod 3 = 1

#### How to calculate modulo with a calculator?

- You need to enter dividend in the first input field "Dividend".
- You need to enter divisor in the second input field "Divisor".
- Then click on the submit button, the results "modulo" will automatically appear below.

#### More Calculation (modulo calculator) Examples

- 12 mod 5
- 5 x 2 = 10 => 12 - 10 = 2
- 2 is the remainder
- So, 12 mod 5 = 2
- 27 mod 6
- 6 x 3 = 24 => 27 - 24 = 3
- 3 is the remainder
- So, 27 mod 6 = 3
- 55 mod 7
- 7 x 7 = 49 => 55 - 49 = 6
- 6 is the remainder
- So, 55 mod 7 = 6
- 1 modulo 2 = 1
- 0 modulo 2 = 0
- 1 modulo 3 = 1
- 5 modulo 2 = 1
- 3 modulo 2 = 1
- 10 modulo 3 = 1

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