High Speed 16×16-bit Low-Latency Pipelined Booth Multiplier

Abstract

This paper presents a high-speed 16×16-bit CMOS pipelined booth multiplier. Actually in an n-bit modified Booth multiplier, because of the last sign bit, n/2 +1 partial product rows are generated rather than n/2. The extra row not only increases the delay and power consumption of Wallace tree, but also it leads to irregularity and complexity of Wallace tree designing. In this multiplier the last sign bit is removed by using a simple high-speed approach. This causes 4% reduction in power consumption and 5.2% reduction in transistor count. Also by using new partial product generation and booth encoder circuits and a novel adder, speed of pipelined multipliers is improved. By these new architectures, final adder performs 25 bit addition in only two cycles with high speed (1.6 GHz). Due to lower number of cycles (5 clock cycles), delay of the overall circuit is only 3.1ns and besides power consumption is decreased so that at a data rate of 1 GHz and under the supply voltage of 3.3V, power consumption is 169mW. This multiplier is implemented in TSMC 0.35µm CMOS technology.