Digital-parallel residue-binary conversion

D. Gallaher, P. Srinivasan
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引用次数: 0

Abstract

A method for residue-number-system- (RNS-) to-weighted-binary-number system (-BNS) conversion for moduli of the form 2k-1, 2k, 2k+1 is presented. The conversion method, which is called the Srinivasan-Gallaher (SG) method, is an application of work by P. Srinivasan et al. on division by 2/sup n/-1 and 2/sup n/+1. Specifically, the method for computing remainders is reversed to provide a convenient digit-parallel RNS-to-binary conversion procedure. In comparison with other methods recently presented in the literature, this technique is faster and requires less area for implementation. After the SG method is described and proved, this and other conversion approaches are classified and compared.<>
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数字并行剩余二进制转换
给出了形式为2k- 1,2k, 2k+1的模的余数制(RNS-)到加权二进制制(- bns)的转换方法。这种转换方法被称为Srinivasan- gallaher (SG)方法,是P. Srinivasan等人关于除2/sup n/-1和2/sup n/+1的工作的应用。具体来说,计算余数的方法是反向的,以提供一个方便的数字并行rns到二进制转换过程。与文献中最近提出的其他方法相比,该技术更快,并且需要更少的实现空间。在对SG法进行了描述和证明后,对该方法与其他转换方法进行了分类和比较。
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