A Reverse Converter and Sign Detectors for an Extended RNS Five-Moduli Set.

This paper deals with the extended five moduli set $ \left({{2^{2n+p}, 2^{n}-1, 2^{n}+1, 2^{n}-2^{\frac {n+1}{2}}+1, 2^{n}+2^{\frac {n+1}{2}}+1}}\right)$ where n$ is a positive odd integer and p$ is nonnegative integer such that . The paper proposes an efficient residue-to-binary converter along with a converter-based sign detector for this extended set. The paper also presents a residue-to-residue transformer that transforms the same five-moduli set to the three-moduli set (2^{2n+p}, 2^{2n}-1, 2^{2n}+1) . Such a transformer enables the five-moduli set to utilize components that are (or will be) designed for the three-moduli set such as sign detectors. [ABSTRACT FROM AUTHOR]