Below is a modulo calculator, which will return the remainder as the result of division, or the modulo or mod number.
What is a Remainder? How does it relate to Modular Arithmetic?
A remainder is the extra amount when you do division and the divisor doesn't divide a divisor equally. If the division is equal, the remainder is 0.
Here's an illustration of division with remainders:
And in the equation:
- x: the divisor or number we will divide by y
- y: the dividend, the number of times to divide x
- q: the quotient, or the whole number times y could divide b
- r: the remainder or left over number from dividing x by y
In modular arithmetic, you "wrap around" a number, so the remainder is the final answer and you discard the quotient.
For example, if you divide 14 by 5, you get 2 plus a remainder of 4. But we would say:
14\ mod\ 5=4
Sometimes modulo operations are written like this:
14\ \%\ 5=4
Using the Modulo Calculator
To use the module calculator, enter a Dividend and a Divisor. Then, hit the Compute Remainder button.
You'll next see the Quotient and Remainder box fill with the results of the division. The result of the mod math is the Remainder.