高基数SRT除法与商数的推测

T. Pan, Hyon S. Kay, Y. Chun, C. Wey
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引用次数: 8

摘要

使用商数选择表(QST)可以显著降低商数选择过程的复杂性。然而,巨大的表大小限制了这种方法的小基数实现。本文提出了一种替代的商决策过程来减小表的大小。不是找到确切的商数,而是估计一个推测的商数。在对推测的商位进行修正时,使用推测的商位来更新可能的部分余数。该过程包括两个步骤:推测商数的确定和商数校正。因此,不使用一个巨大的QST表,而是使用两个较小的表。结果表明,该方法显著减小了原始QST的大小。
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High-radix SRT division with speculation of quotient digits
The complexity of quotient-digit selection process can be reduced significantly by using a look-up table, referred to as quotient-digit selection table (QST). However, the huge table size limits such approach for small-radix implementation. This paper presents an alternative quotient decision process to reduce the table size. Instead of finding the exact quotient digit, a speculated quotient digit is estimated. The speculated quotient digit is used to update the possible partial remainders while the speculated quotient digit is corrected. The process includes two steps: determination of speculated quotient digit and quotient-digit correction. Thus instead of using a huge QST table, two smaller tables are employed. Result shows that the proposed approach significantly reduces the size of the original QST.
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