## Enter a mod b statement(s)

Simplify the following:

100 mod 16

##### Define modulus:

Remainder of a ÷ b

In this case, a = 100 and b = 16

##### Calculate whole number part:

16 goes into 100 a total of 6 times

16 x 6 = 96

##### Calculate remainder part:

Remainder = a - whole number

Remainder = 100 - 96

100 mod 16 ≡ 4

#### You have 2 free calculationss remaining

100 mod 16 ≡ 4
##### How does the Modulus Calculator work?
Free Modulus Calculator - Given 2 integers a and b, this modulo calculator determines a mod b or simplifies modular arithmetic such as 7 mod 3 + 5 mod 8 - 32 mod 5
This calculator has 1 input.

### What 1 formula is used for the Modulus Calculator?

amodb = Remainder after a ÷ b

For more math formulas, check out our Formula Dossier

### What 2 concepts are covered in the Modulus Calculator?

modulus
the remainder of a division, after one number is divided by another.
a mod b
remainder
The portion of a division operation leftover after dividing two integers