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An Efficient Residue to Binary Converter for the New Two-Level Moduli Set {22n {2n ,2n+1 -1},2n -1, 2n + 1}

Author Affiliations

  • 1 Department of Computer Engineering, Ahvaz branch, Islamic Azad University, Ahvaz, IRAN
  • 2 Department of Computer Engineering, Ahvaz branch, Islamic Azad University, Shoushtar, IRAN
  • 3
  • 4
  • 5

Res. J. Recent Sci., Volume 1, Issue (7), Pages 83-86, July,2 (2012)


In this paper a new two-level four moduli set {22n {2n ,2n+1 -1},2n -1, 2n + 1} is introduced and an efficient residue to binary converter is proposed for it. This moduli set contains the moduli set {22n, 2n 1, 2n +1} in its first-level and the moduli set {2, n+1 1} in its second-level for the modulo 22n.The reverse converter for this moduli set is implemented in two-level structure, which is designed based on Chinese remainder theorem (CRT) and the new CRT-1 methods. The proposed residue to binary converter for this moduli set improves the hardware cost and delay significantly in comparison to the similar previously presented moduli sets.


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