Modulo Calculator
Compute the remainder when dividing one number by another. The modulo operation is fundamental in programming, cryptography, and clock arithmetic.
Remainder
Enter values to calculate
How to Use the Modulo Calculator
1
Enter the dividend (a).
2
Enter the divisor (b).
3
View the remainder (a mod b).
Frequently Asked Questions
What is the modulo operation?
Modulo gives the remainder after integer division. For example, 17 mod 5 = 2 because 17 / 5 = 3 remainder 2.
How is modulo used in programming?
It checks for even/odd numbers, implements circular arrays, validates check digits, and manages wrap-around logic.
What happens with negative numbers?
The result sign depends on the convention. This tool follows the mathematical definition.