Application of new Chinese remainder theorems to RNS with two pairs of conjugate moduli

Abstract

The two most important considerations when designing RNS systems are the choices of the moduli sets and the conversion from the residue to the weighted binary system. In this paper, we unite the new progresses in both issues by applying a new general conversion algorithm, the New Chinese Remainder Theorem III, to the recently proposed conjugate moduli sets, which results in a more efficient design for the residue to binary conversion of-the given moduli sets. This more efficient design for the converter will make the conjugate moduli sets more attractive compared to other moduli sets. The result also demonstrates the effectiveness of the New Chinese Remainder Theorems.