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 …

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 …

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 …

A modular circle of size -3 wouldn't make much sense. However, if we wanted to find out the remainder of A/B when B is negative, we can simply multiply A/B by -1/-1 to make B positive.

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 …

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 …

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 …

Thanks to addition and multiplication properties, modular arithmetic supports familiar algebraic manipulations such as adding and multiplying together ≡ (mod m) equations.

We consider two integers x, y to be the same if x and y differ by a multiple of n, and we write this as x = y (mod n), and say that x and y are congruent modulo n. We may omit (mod n) when it …

Inverses 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) m) on An inverse to ab ≡ 1(mod m).