Residue-To-Binary Converter For The New Rns Moduli Set {22n-2, 2n-1, 2'1+1}

Even moduli of the 2"-2 form have been recently proposed in the design of various digital systems that utilize the Residue Number System (RNS), as an alternative to the dominating modulo channel of 2". Although efficient arithmetic units and residue generators have been proposed for the 2"-2 channel, the residue -to-binary conversion for moduli sets that incorporate this channel still remains a challenging task. In this work, we propose a reverse converter for the novel 3 -moduli set {22n-2, 2"-1, 2"-P1} that can be easily derived based on the well-known New Chinese Remainder Theorem-I (New CRT -I). Performance evaluation based on experimental CMOS VLSI results for various bit-lengths reveals a significant reduction in conversion delay and integration area of up to 49% and 27% respectively, when compared with reverse converters of similar moduli sets.