Reverse Converters for the Moduli Set {2n+1−3, 2n−1, 2n−1−1}

Abstract

ABSTRACTIn this paper, residue number system to binary converters for the moduli set {2n+1–3, 2n–1, 2n–1–1} using five techniques are investigated. These techniques are based on (1) mixed-radix conversion, (2) New Chinese Remainder Theorem (CRT) II, (3) CRT, (4) mixed-radix CRT, and (5) core function. The proposed converters are compared regarding area and conversion time requirements with the converters described for other three moduli sets described in the literature {2n–1, 2n, 2n+1}, {2n–1, 2n, 2n–1–1}, {2n–1, 2n, 2n+1–1} and a four moduli set {2n–3,2n–1,2n+1,2n+3} which has a similar dynamic range.