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

In this paper, mixed radix conversion (MRC)-based residue number system (RNS)-to-binary converters for two new three-moduli sets {2^k-3, 2^k-2, 2^k-1} and {2^k+1, 2^k+2, 2^k+3} which are derived from the moduli set {2m+1, 2m, 2m-1} are presented. These have the advantage of having one modulus of the form 2^k-1 or 2^k+1 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.