New division algorithms by digit recurrence

Jo Ebergen, Ivan Sutherland, Ajanta Chakraborty
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引用次数: 9

Abstract

This paper offers two new division algorithms by digit recurrence. Compared to the standard radix-2 division algorithms with carry-save addition, the new division algorithms trade off a simpler selection logic for more alternatives in the basic repetition step. Our final division algorithm is potentially faster and more energy efficient than radix-2 division with carry-save addition, because the selection logic has less delay and the repetition steps on average perform fewer additions and subtractions.
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新的数字递归除法算法
本文提出了两种新的数字递归除法算法。与具有免进位加法的标准基数-2除法算法相比,新的除法算法在基本重复步骤中牺牲了更简单的选择逻辑,以获得更多的选择。我们最终的除法算法可能比带有免进位加法的基数2除法更快,更节能,因为选择逻辑具有更少的延迟,并且重复步骤平均执行更少的加法和减法。
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