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  1. Modular arithmetic - Wikipedia

    In mathematics, modular arithmetic is a system of arithmetic operations for integers, other than the usual ones from elementary arithmetic, where numbers "wrap around" when reaching a certain value, …

  2. Modular Arithmetic - Properties and Solved Examples

    May 24, 2024 · Modular arithmetic, also known as clock arithmetic, deals with finding the remainder when one number is divided by another number. It involves taking the modulus (in short, ‘mod’) of …

  3. Modular Arithmetic - GeeksforGeeks

    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 …

  4. Modular Arithmetic | Brilliant Math & Science Wiki

    Modular arithmetic is a system of arithmetic for integers, which considers the remainder. In modular arithmetic, numbers "wrap around" upon reaching a given fixed quantity (this given quantity is known …

  5. What is modular arithmetic? (article) | Khan Academy

    Using the same A , B , Q , and R as above, we would have: A mod B = R. We would say this as A modulo B is equal to R . Where B is referred to as the modulus. For example: Observe what happens …

  6. Modular arithmetic/Introduction - Art of Problem Solving

    Modular arithmetic is a special type of arithmetic that involves only integers. This goal of this article is to explain the basics of modular arithmetic while presenting a progression of more difficult and more …

  7. These are all familiar examples of Modular Arithmetic. When working modulo n, the theme is “ignore multiples of n, just focus on remainders”. Even/Odd: remainder when dividing by 2. Weekday: …

  8. Modular arithmetic | Number Theory, Congruence & Algorithms

    Nov 12, 2025 · Modular arithmetic, in its most elementary form, arithmetic done with a count that resets itself to zero every time a certain whole number N greater than one, known as the modulus (mod), …

  9. 1.6: Modular Arithmetic - Mathematics LibreTexts

    Jul 14, 2025 · We want to create a new system of arithmetic based on remainders, always keeping in mind the number we are dividing by, known as the modulus. Modular arithmetic is a system of …

  10. Modulo Operation - Math is Fun

    It multiplies each number by your chosen value, then links to the modulus of that multiplication. It makes some really interesting patterns: Math explained in easy language, plus puzzles, games, quizzes, …