Carry-save and binary sign-digit representations conversion

Guoping Wang
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Abstract

Computer arithmetic operations based on the binary sign-digit (BSD) numbers and carry-save addition (CSA) representation systems provide them with high-speed computations due to carry-propagation free features. However, in the previous researches, these two representations are treated respectively. In this paper, the algorithms and implementation structures are proposed for the conversion between them, thus, the arithmetic developed for one representation can be easily adapted to the other. The conversion overheads in the area and speed are also studied
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携带保存和二进制符号-数字表示转换
基于二进制符号-位数(BSD)数和免进位加法(CSA)表示系统的计算机算术运算,由于无进位传播的特性,为它们提供了高速计算。然而,在以往的研究中,这两种表征是分别处理的。在本文中,提出了它们之间转换的算法和实现结构,因此,为一种表示开发的算法可以很容易地适应另一种表示。本文还研究了面积和速度上的转换开销
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