AN EFFICIENT REVERSE CONVERTER FOR THE NEW FOUR-MODULI SET {22n, 2n+1 - 1, 2n/2 + 1, 2n/2 - 1}

Author:

NOORIMEHR MOHAMMADREZA1,HOSSEINZADEH MEHDI1,FARSHIDI REZA2

Affiliation:

1. Islamic Azad University, Science and Research Branch, Tehran, Iran

2. Islamic Azad University, Dezful Branch, Dezful, Iran

Abstract

In this paper, the new four-moduli set {22n, 2n+1 - 1, 2n/2 + 1, 2n/2 - 1} for even n is introduced. This moduli set has 4n-bit dynamic range and well-formed moduli which result in increased performance of RNS arithmetic unit. Then, an efficient reverse converter is presented based on New Chinese remainder theorem2 (New CRT-II) for proposed moduli set. The converter is ROM-free and based on carry save adders and modular adders which can be efficiently implemented by VLSI circuits. The presented reverse converter for moduli set {22n, 2n+1 - 1,2n/2 + 1, 2n/2 - 1} has lower delay and hardware cost in comparison to the reverse converter of the latest introduced four-moduli set {2n - 1, 2n, 2n + 1, 2n+1 - 1} with 4n-bit dynamic range.

Publisher

World Scientific Pub Co Pte Lt

Subject

Electrical and Electronic Engineering,Hardware and Architecture,Electrical and Electronic Engineering,Hardware and Architecture

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