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• W2183719987 abstract "The inherent properties of carry-free operations, parallelism and fault-tolerance have made the residue number system a promising candidate for high-speed arithmetic and specialized high-precision digital signal-processing applications. However, the reverse conversion from the residues to the weighted binary number has long been the performance bottleneck, par- ticularly when the number of moduli set increases beyond 3. In this paper, we present an elegant residue-to-binary conversion algorithm for a new 4-moduli set . The new Chinese remainder theorem introduced recently has been employed to exploit the special properties of the proposed moduli set where modulo corrections are done without resorting to the costly and time consuming modulo operations. The resulting architecture is notably simple and can be realized in hardware with only bit reorientation and one multioperand modular adder. The new reverse converter has superior area-time complexity in comparison with the reverse converters for several other 4-moduli sets. Index Terms—New Chinese remainder theorem (CRT), residue arithmetic, residue number system (RNS), residue-to-binary con- verter." @default.
• W2183719987 created "2016-06-24" @default.
• W2183719987 creator A5029335324 @default.
• W2183719987 creator A5051716774 @default.
• W2183719987 creator A5070475093 @default.
• W2183719987 date "2003-01-01" @default.
• W2183719987 modified "2023-09-26" @default.
• W2183719987 title "An Efficient Reverse Converter for the 4-Moduli Set , , , Based on the New" @default.
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