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Modulo Calculator - Remainder Division
Free modulo calculator. Calculate the remainder when dividing two numbers. Essential for programming and cryptography.
Modulo Calculator
Calculate remainder (mod)
Modulo Result
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Modulo Calculator
Calculate the remainder after division. The modulo operation (a mod n) returns the remainder when a is divided by n.
Modulo Formula
a mod n = a - n × floor(a/n)
17 mod 5 = 2 (because 17 = 5×3 + 2). Modulo is fundamental in programming, cryptography, and cyclic patterns.
Frequently Asked Questions
What is modulo used for?
Programming: array indexing, hash functions, circular buffers. Cryptography: RSA encryption. Time: 25 mod 12 = 1 (1 PM).
What about negative numbers?
Results vary by language. In math: -7 mod 5 = 3. Some languages give -2. This calculator uses mathematical convention.
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