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Summary: 1
Adder Based Residue to Binary Number Converters for (2n
-1,2n
,2n
+1)
Yuke Wang, Xiaoyu Song, Mostapha Aboulhamid, Hong Shen
Abstract
Based on an algorithm derived from the New Chinese Remainder
Theorem I, we present three new residue-to-binary converters for the
residue number system (2n
-1,2n
,2n
+1), designed using 2n- bit or n-bit
adders with improvements on speed, area, or dynamic range compared to
various previous converters. The 2n- bit adder based converter is faster and
requires about half the hardware required by previous methods. For n-bit
adder based implementations, one new converter is twice as fast as the
previous method using similar amount of hardware; while another new
converter achieves improvement in either speed, area, or dynamic range
compared to previous converters.
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