Division with speculation of quotient digits

J. Cortadella, T. Lang
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引用次数: 11

Abstract

The speed of SRT-type dividers is mainly determined by the complexity of the quotient-digit selection, so that implementations are limited to low-radix stages. A scheme is presented in which the quotient-digit is speculated and, when this speculation is incorrect, a rollback or a partial advance is performed. This results in a division operation with a shorter cycle time and a variable number of cycles. Several designs have been realized, and a radix-64 implementation that is 30% faster than the fastest conventional implementation (radix-8) at an increase of about 45% in area per quotient bit has been obtained. A radix-16 implementation that is about 10% faster than the radix-8 conventional one, with the additional advantage of requiring about 25% less area per quotient bit, is also shown.<>
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商位的投机除法
srt型除法的速度主要取决于商数选择的复杂性,因此实现仅限于低基数阶段。提出了一种方案,其中商位被推测,当这种推测不正确时,执行回滚或部分前进。这使得除法运算的周期时间更短,循环次数可变。已经实现了几种设计,并且获得了比最快的传统实现(基数-8)快30%的基数-64实现,每商位面积增加了约45%。还显示了一种基数16的实现,比基数8的传统实现快10%左右,并且每个商位所需的面积减少了约25%。
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Hardware starting approximation for the square root operation A modular multiplication algorithm with triangle additions Division with speculation of quotient digits Design of a fast validated dot product operation Exact rounding of certain elementary functions
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