In this paper, Mixed Radix Conversion (MRC)-based Residue Number System (RNS)-to-binary converters for the three-moduli set {2m - 1, 2m, 2m ? 1} are presented. The proposed reverse converters are evaluated and compared to reverse converters proposed earlier in literature using Chinese Remainder Theorem(CRT) and New CRT for this moduli set as well as two four-moduli sets {2ⁿ - 1, 2ⁿ, 2ⁿ + 1, 2ⁿ⁺¹ - 1} and {2ⁿ - 1, 2ⁿ, 2ⁿ + 1, 2ⁿ⁺¹ + 1} regarding hardware requirement and conversion time.

In this paper a residue-to-binary converter for the 7-modulus set {2^n-5–1, 2^n-3–1, 2^n-2+1, 2^n-1–1,2^n-1+1, 2², 2²+1} for n even is presented, which is an improved version of a reverse converter presented recently. The proposed converter needs less hardware resources ranging from 52.9% to 66.9%, conversion time of 68–70.7% and power dissipation of 47–63% of those needed for an earlier described converter for the same considered dynamic ranges.