Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...

Algorithms are pre-defined, self-contained sets of instructions designed to execute diverse functions, and they have been around for longer than you might expect. From ancient Babylon to the present ...

This project implements the physical design (Place and Route) of a GCD (Greatest Common Divisor) algorithm using Cadence Innovus. The GCD calculator is a digital circuit that computes the greatest ...

In this paper, a new mathematical method is used to study the indefinite equations of binary quadratic and binary arbitrary order, the problem of judging and solving these indefinite equations with or ...

This program offers a C++ solution to compute the Greatest Common Divisor (GCD) of two strings, showcasing an application of the Euclidean algorithm for string manipulation.

ABSTRACT: Let x and y be two positive real numbers with x y. Consider a traveler, on the interval [0, y/2], departing from 0 and taking steps of length equal to x. Every time a step reaches an ...

Abstract: A new parallelization of the extended Euclidean GCD algorithm is proposed. It matches the best existing integer GCD algorithms since it can be achieved in parallel O/sub eps/(n/log n) using ...