Modulus Formula In Maths

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.

Modulus formula in maths. Examsolutions maths revision youtube video michaelexamsolutionskid 2020 11 10t11 54 52 00 00. Minus 5 start text space m o d space end text 3 equals 1. F x x or. The modulus function f x of x is defined as.

A familiar use of modular arithmetic is in the 12 hour clock in which the day is divided into two 12. Hence we can redefine the modulus function as. In mathematics this circular counting is called modular arithmetic and the number 12 in this example is called a modulus. But if x is negative then the output of x will be the magnitude of x.

X positive value of x. We ended up at 1 so. Modulo is also referred to as mod the standard format for mod is. In mathematics the modulo is the remainder or the number that s left after a number is divided by another value.

In this video i introduce you to the modulus function. In computing the modulo operation returns the remainder or signed remainder of a division after one number is divided by another called the modulus of the operation. If x is positive then the output of the function f x will be x only. And x states modulus or mod of x.

The modulus function x. 5 text mod 3 bf 1 5 mod 3 1. For a negative number x 0 the function generates x where. F x x i f x 0 x i f x 0.

Given two positive numbers a and n a modulo n abbreviated as a mod n is the remainder of the euclidean division of a by n where a is the dividend and n is the divisor. We start at 0 and go through 5 numbers in counter clockwise sequence 5 is negative 2 1 0 2 1. It coincide with the graph of identity function y x y x for x 0 x 0 and for x 0 it is a graph of linear function y x y x here at x 0 the graph is turning upward. A modulus is the number at which we start over when we are dealing with.

5 mod 3 1. With a modulus of 3 we make a clock with numbers 0 1 2. Here x represents any non negative number and the function generates a positive equivalent of x.