Design of residue-to-binary converter for a new 5-moduli superset residue number system

This paper presents an efficient residue-to-binary (R/B) conversion algorithm for a new 5-moduli superset {2ⁿ-1, 2ⁿ, 2ⁿ+1, 2ⁿ⁺¹-1, 2^n-1-1} residue number system (RNS) when n is even. The new moduli set is provided for larger dynamic range and higher parallelism. Our R/B conversion algorithm is based on a 4-moduli set R/B converter and the mixed-radix conversion (MRC) technique. The proposed architecture is built around full adders, which can be easily pipelined to achieve high throughput rate. Our investigations show that the resulting architecture is notably more efficient than that proposed for an existing 5-moduli set RNS in terms of area, delay and power consumption.