Beyond-Binary Arithmetic: Algorithms and VLSI Implementations.

Beyond-Binary Arithmetic: Algorithms and VLSI Implementations.
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超越二进制算术:算法和 VLSI 实现。

DOI:
10.4036/iis.2000.75
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发表时间:
2000
期刊:
Interdisciplinary Information Sciences
影响因子:
--
通讯作者:
T. Higuchi
T. Higuchi
中科院分区:
--
文献类型:
--
作者:
T. Aoki;T. Higuchi

文献摘要

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超越二进制算术算法是一类新的计算机算术算法,它采用非二进制数据表示,以实现比传统的二进制算法更高的性能。本文给出了超二进制算术算法的突出例子:例子包括(i)不使用查找表的高基数冗余除法算法,(ii)用于快速矢量旋转的高基数冗余CORDIC算法,以及(iii)用于快速真实的/复数混合计算的冗余复数算术算法。
Beyond-binary arithmetic algorithms are defined as a new class of computer arithmetic algorithms which employ non-binary data representations to achieve higher performances beyond those of conventional binary algorithms. This paper presents prominent examples of beyond-binary arithmetic algorithms: examples include (i) a high-radix redundant division algorithm without using lookup tables, (ii) a high-radix redundant CORDIC algorithm for fast vector rotation, and (iii) redundant complex arithmetic algorithms for fast real/complex-mixed computations.