An Efficient Residue to Weighted Converter for a New Residue Number System

  • Authors:
  • Alexander Skavantzos

  • Affiliations:
  • -

  • Venue:
  • GLS '98 Proceedings of the Great Lakes Symposium on VLSI '98
  • Year:
  • 1998

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Abstract

The Residue Number System (RNS) is an integer system appropriate for implementing fast digital signal processors since it can support parallel, carry-free, high-speed arithmetic. In this paper a new RNS system and an efficient implementation of its residue-to-weighted converter are presented. The new RNS is a balanced 5-moduli system appropriate for large dynamic ranges. The new residue-to-binary converter is very fast and hardware-efficient and is based on a 1's complement multioperand adder adding operands of size only 80% of the size of the system's dynamic range.