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VLSI Design
Volume 12 (2001), Issue 3, Pages 377-390

A Regularly Structured Parallel Multiplier with Low-power Non-binary-logic Counter Circuits

Department of Computer Science, SUNY at Geneseo, Geneseo 14454, NY, USA

Received 20 June 2000; Revised 3 August 2000

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A highly regular parallel multiplier architecture along with the novel low-power, high-performance CMOS implementation circuits is presented. The superiority is achieved through utilizing a unique scheme for recursive decomposition of partial product matrices and a recently proposed non-binary arithmetic logic as well as the complementary shift switch logic circuits.

The proposed 64×64-b parallel multiplier possesses the following distinct features: (1) generating 64 8×8-b partial product matrices instead of a single large one; (2) comprising only four stages of bit reductions: first, by 8×8-b small parallel multipliers, then, by small parallel counters in each of the remaining three stages. A family of shift switch parallel counters, including non-binary (6, 3) and complementary (k, 2) for 2 ≤ k ≤ 8, are proposed for the efficient bit reductions; (3) using a simple final adder.

The non-binary logic operates 4-bit state signals (representing integers ranging from (0 to 3), where no more than half of the signal bits are subject to value-change at any logic stage. This and others including minimum transistor counts, fewer inverters, and low-leakage logic structure, significantly reduce circuit power dissipation.