7|2 counters and multiplication with threshold logic

Abstract

We propose new threshold logic based, 7|2 counters. In particular we show that 7|2 counters can be implemented with threshold logic gates in three levels of gates with explicit computation of the outputs. Consequently, we improve the delay by showing that 7|2 counters can be designed with two levels of gates and implicit computation of the sum. Further we investigate multiplication schemes using such counters, in combination with Kautz's (1961) networks for symmetric Boolean functions. Using a 32/spl times/32 direct multiplication scheme based on 7|2 implicit output computation counters and the Kautz's networks we show that our scheme outperforms in terms of area requirements known proposals for multiplications using threshold logic.