Modular Arithmetic

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Modular Arithmetic

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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 as the modulus to leave a remainder Definition. Let n ∈ N. Addition and multiplication in Zn are defined as follows: For [a], [c] ∈ Zn, [a] ⊕ [c] = [a + c] and [a] ⊙ [c] = [ac]. The term modular arithmetic is used to refer to the operations of addition and multiplication of congruence classes in the integers modulo n.

Modular Arithmetic

Modular ArithmeticWhat is modular arithmetic? Google Classroom. An 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 . In 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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