Modulus Calculator

What does the Modulus Calculator do?

It computes modular arithmetic results including a^n mod c and remainders, useful for programming, cryptography, and number theory.

How do I use it?

Enter values for a, n and c to compute a^n mod c, or enter a dividend and divisor to find the remainder.

Is it free?

Yes. This Kod5 tool runs in the browser, requires no installation, and is free to use.

Mechanical Engineering Example: CNC Rotary Indexing

A rotary indexing fixture on a CNC machine has 12 equally spaced positions (0–11). The machining controller advances 5 positions per cycle. Which position does the fixture land on after the 4th cycle?

Calculate: 5⁴ mod 12 = 625 mod 12 = 1 → the fixture is at position 1.

Set A = 5, n = 4, C = 12 in the calculator above to verify. This pattern is used in rotary indexing heads, bolt-hole drilling sequences, and cyclic gear engagement analysis.