Search results
Results from the WOW.Com Content Network
Restoring division is a slow division method that operates on fixed-point fractional numbers and depends on the assumption that the divisor is not zero. It produces the quotient and remainder of Euclidean division using a recurrence equation and a partial remainder.
Euclidean division, and algorithms to compute it, are fundamental for many questions concerning integers, such as the Euclidean algorithm for finding the greatest common divisor of two integers, [1] and modular arithmetic, for which only remainders are considered. [2]
Learn how to compute the greatest common divisor (GCD) of two integers using Euclid's method, which is based on repeated subtraction or division. Find out the applications, history, and generalizations of this algorithm in number theory and cryptography.
Modulo is a mathematical operation that returns the remainder of a division. In computing, different systems and languages have different ways of defining and implementing modulo, depending on the signs and types of the operands.
A remainder is the amount "left over" after dividing one number by another, or after subtracting one number from another. Learn how to calculate remainders for integers, floating-point numbers, and polynomials, and see different conventions in programming languages.
Learn how to divide a polynomial by another polynomial using an algorithm similar to long division in arithmetic. See examples, applications, and methods such as synthetic division and polynomial short division.
The greatest common divisor (GCD) or factor (GCF) of two or more integers is the largest positive integer that divides each of them. Learn how to compute GCD using prime factorizations, Euclid's algorithm, and other methods.
In the msbit-first example, the remainder polynomial is + +. Converting to a hexadecimal number using the convention that the highest power of x is the msbit; this is A2 16. In the lsbit-first, the remainder is + +.