May 24, 2024 · What is modular arithmetic with examples. Learn how it works with addition, subtraction, multiplication, and division using rules.

The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones Arithmeticae, published in 1801. A familiar example of modular arithmetic is the hour …

Feb 1, 2021 · Together we will work through countless examples of modular arithmetic and the importance of the remainder and congruence modulus and arithmetic operations to ensure mastery …

This goal of this article is to explain the basics of modular arithmetic while presenting a progression of more difficult and more interesting problems that are easily solved using modular arithmetic.

Sep 3, 2025 · Modular arithmetic is a system of arithmetic for numbers where numbers "wrap around" after reaching a certain value, called the modulus. It mainly uses remainders to get the value after …

Modular arithmetic is often tied to prime numbers, for instance, in Wilson's theorem, Lucas's theorem, and Hensel's lemma, and generally appears in fields like cryptography, computer science, and …