Abstract

Abstract: Due to issues with conventional number systems (binary), such as the carry propagation issue, which reduces the performance of hardware computing systems, residue number systems (RNS) have gained popularity. Residue to binary conversion speed and complexity, as well as the speed of the internal RNS arithmetic unit, all affect how well a residue number system (RNS) performs. We have included a number of studies on the recognition of RNS Number Systems and Residue to Binary Converter Systems for various moduli sets in this paper. Additionally, we implemented a model and calculated the value of LUT’S, Slices and other components within it.

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