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Modulo Operator | PDF

Modulo Operator | PDF In modulus operation, when the first number is smaller than the second, the result is the first number itself. 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 the number used for division. if ‘a’ and ‘b’ are two integers such that ‘a’ is divided by ‘b,’ then: a b = q, r e m a i n d e r r. here,.

Modulo Operator

Modulo Operator Modulus is a mathematical operator that refers to finding the remainder after performing division. it is about what is left over when the division is done. the modulus operator —usually represented by “mod” or the “%” symbol in programming—captures this leftover part with precision. 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 wrapping around. it is often referred to as "clock arithmetic. In computing and mathematics, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, the latter being called the modulus of the operation. The mod operator, short for modulus, is a mathematical operation that returns the remainder when one number is divided by another.

Modulo Operator

Modulo Operator In computing and mathematics, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, the latter being called the modulus of the operation. The mod operator, short for modulus, is a mathematical operation that returns the remainder when one number is divided by another. The modulo operation in computer science refers to the calculation of the remainder when one number is divided by another. it is commonly used in various applications, such as watermark embedding and authentication processes, to perform arithmetic operations on integers. Example \ (\pageindex {4}\): calculate function modulo n, each step. example \ (\pageindex {5}\): calculate function modulo n, last step. all integers are said to be equivalent mod n to their remainder after dividing by n. for example \ (9 \equiv 4 \pmod 5\) because \ (9/5\) has remainder 4. To calculate the modulo of a number, especially with a power of two, bitwise operations can be used: specifically, x mod y where y is a power of two can be computed as x and (y 1).

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