Scaled and Unscaled Residue Number System to Binary Conversion Techniques using the Core Function

  • Authors:

  • Neil Burgess

  • Affiliations:

  • -

  • Venue:
  • ARITH '97 Proceedings of the 13th Symposium on Computer Arithmetic (ARITH '97)
  • Year:
  • 1997

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Abstract

This paper presents related techniques for converting a Residue Number System (RNS) number to binary, with and without scaling, using the core function. The techniques presented remove the difficulties associated with conversion methods based on the Chinese Remainder Theorem and Mixed-Radix Conversion. Two new methods for extracting the core of an RNS number are presented that use a parity bit to eliminate ambiguity.