RNS-to-Binary Converters for New Three-Moduli Sets {2k−3, 2k−2, 2k−1} and {2k+1, 2k+2, 2k+3}

Abstract

In this paper, mixed radix conversion (MRC)-based residue number system (RNS)-to-binary converters for two new three-moduli sets {2[Formula: see text], 2[Formula: see text], 2[Formula: see text]} and {2[Formula: see text], 2[Formula: see text], 2[Formula: see text]} which are derived from the moduli set {2[Formula: see text], 2[Formula: see text], 2[Formula: see text]} are presented. These have the advantage of having one modulus of the form 2[Formula: see text] or 2[Formula: see text] simplifying computations in one residue channel. The proposed reverse converters are evaluated and compared with state-of-the-art reverse converters proposed in literature for other three-moduli sets regarding hardware requirement and conversion time.