New residue number system scaler for the three-moduli set {2n+1 − 1, 2n, 2n − 1}

Abstract

This work proposes the first scaler designed specifically for the three-moduli set M1 = {2n+1 − 1, 2n, 2n − 1}. Hence, there is no other functionally similar scaler to compare the proposed scaler with. However, when compared with the latest published scalers for a different moduli set, M2 = {2n + 1, 2n, 2n − 1}, the proposed scaler has a better area and power performance, while it requires a longer time delay. As demonstrated in earlier publications, replacing the (2n + 1) channel in the M2 moduli set by the (2n+1 − 1) channel, to form the M1 moduli set, considerably improves the overall time performance of residue-based multiply–accumulate arithmetic units.