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Modular arithmetic - Wikipedia
https://en.wikipedia.org/wiki/Modular_arithmetic
WebIn mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones Arithmeticae , published in 1801.
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What is modular arithmetic? (article) | Khan Academy
https://www.khanacademy.org/computing/computer-science/cryptography/modarithmetic/a/what-is-modular-arithmetic
WebAn Introduction to Modular Math. When we divide two integers we will have an equation that looks like the following: A B = Q remainder R. A is the dividend. B is the divisor. Q is the quotient. R is the remainder. Sometimes, we are only interested in what the remainder is when we divide A by B .
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Modular Arithmetic | Brilliant Math & Science Wiki
https://brilliant.org/wiki/modular-arithmetic/
WebModular 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 as the modulus) to leave a remainder.
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Modular arithmetic/Introduction - Art of Problem Solving
https://artofproblemsolving.com/wiki/index.php/Modular_arithmetic/Introduction
WebModular 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 interesting problems that are easily solved using modular arithmetic.
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7.4: Modular Arithmetic - Mathematics LibreTexts
https://math.libretexts.org/Bookshelves/Mathematical_Logic_and_Proof/Book%3A_Mathematical_Reasoning__Writing_and_Proof_(Sundstrom)/07%3A_Equivalence_Relations/7.04%3A_Modular_Arithmetic
WebApr 17, 2022 · Home. Bookshelves. Mathematical Logic and Proofs. Mathematical Reasoning - Writing and Proof (Sundstrom) 7: Equivalence Relations. 7.4: Modular Arithmetic. Expand/collapse global location. 7.4: Modular Arithmetic. Page ID. Ted Sundstrom. Grand Valley State University via ScholarWorks @Grand Valley State …
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Modular Arithmetic (w/ 17 Step-by-Step Examples!) - Calcworkshop
https://calcworkshop.com/number-theory/modular-arithmetic/
WebFeb 1, 2021 · How To Do Modular Arithmetic. This means that modular arithmetic finds the remainder of a number upon division! Example #1. What is 16 mod 12? Well 16 divided by 12 equals 1 remainder 4. So the answer is 4! Example #2. What about 15 mod 2? Here, 15 divided by 2 equals 7 remainder 1, so the solution is 1! Example #3. And if you have …
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Modular arithmetic | Number Theory, Congruence & Algorithms
https://www.britannica.com/science/modular-arithmetic
WebApr 5, 2024 · 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), has been reached. Examples are a digital clock in the 24-hour system, which resets itself to 0 at midnight (N =.
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Everything You Need to Know About Modular Arithmetic
https://pi.math.cornell.edu/~morris/135/mod.pdf
WebInverses in Modular arithmetic We have the following rules for modular arithmetic: Sum rule: IF a ≡ b(mod m) THEN a+c ≡ b+c(mod m). (3) Multiplication Rule: IF a ≡ b(mod m) and if c ≡ d(mod m) THEN ac ≡ bd(mod m). (4) Definition An inverse to a modulo m is a integer b such that ab ≡ 1(mod m).
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An Introduction to Modular Arithmetic - NRICH
https://nrich.maths.org/4350
WebAge 14 to 18. Article by Vicky Neale. Published 2011 Revised 2012. An Introduction to Modular Arithmetic. The best way to introduce modular arithmetic is to think of the face of a clock. The numbers go from 1 to 12, but when you get to " 13 o'clock", it actually becomes 1 o'clock again (think of how the 24 hour clock numbering works).
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Modular Arithmetic -- from Wolfram MathWorld
https://mathworld.wolfram.com/ModularArithmetic.html
WebApr 13, 2024 · Modular arithmetic is the arithmetic of congruences, sometimes known informally as "clock arithmetic." In modular arithmetic, numbers "wrap around" upon reaching a given fixed quantity, which is known as the modulus (which would be 12 in the case of hours on a clock, or 60 in the case of minutes or seconds on a clock).
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