A novel division algorithm for the residue number system

Abstract

A novel general algorithm for signed number division in the residue number system (RNS) is presented. The parity checking technique used for sign and overflow detection in this algorithm is more efficient and practical than conventional methods. Sign magnitude arithmetic division is implemented using binary search. There is no restriction to the dividend and the divisor (except zero divisor), and no quotient estimation is necessary before the division is executed. Only simple operations are needed to accomplish this RBS division. All these characteristics have made the algorithm simple, efficient, and practical for implementation on a real RNS divider.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>