A Residue-to-Binary Converter for the Extended Four-Moduli Set {2n-1, 2n+1, 22n+1, 22n+p}

This brief presents a residue-to-binary converter for the moduli set {2(n) - 1, 2(n) + 1, 2(2n) + 1, 2(2n+p)}, where n is a positive integer and 0 <= p <= n - 2. The converter consists of three simplified 4n-bit carry-save adders (CSAs) along with a modulo (2(4n) - 1) adder. The main contribution of this brief is reducing the requirements of the proposed CSA network, which has impacted the area, delay, power and energy. Compared with four-moduli and five-moduli sets that have the dynamic range 2v(2(4n) -1), where v = n or 2(n), the proposed converter resulted in the average area, delay, power, and energy reductions of 22.7%, 9.2%, 17.8%, and 24.5%, respectively. Moreover, the throughput rate per unit area has been improved by an average of 48.7%.