Modular exponentiation

Client

Raise a to the power b and reduce modulo m efficiently—used in RSA, Diffie–Hellman demos, and programming puzzles.

Fast modular power a^b mod m for large exponents—binary exponentiation in the browser.

About Modular exponentiation

Fast modular power a^b mod m for large exponents—binary exponentiation in the browser. The interactive transform on this page runs in your browser tab—Toolcore does not need your paste for the core operation described above.

How to use this page

Paste or type in the main workspace, run the primary action from the toolbar, then copy or download the result. Use Load example when the page offers it, or URL prefill (?q= / ?qb=) so agents and tickets open the same input.

24

Common use cases

  • Compute large modular powers without overflowing JavaScript Number.
  • Cross-check competitive programming or crypto homework steps.

Common mistakes to avoid

  • Zero modulus

    Division by zero is undefined—m must be positive.

FAQ

How large can the exponent be?

BigInt handles very large exponents; extremely large values may slow the tab.

Negative exponent?

Not supported—use modular inverse separately when coprime.

More tools

Related utilities you can open in another tab—mostly client-side.