A Design of High-Speed 4-2 Compressor for Fast Multiplier

Hiroshi MAKINO  Hiroaki SUZUKI  Hiroyuki MORINAKA  Yasunobu NAKASE  Hirofumi SHINOHARA  Koichiro MASHIKO  Tadashi SUMI  Yasutaka HORIBA  

IEICE TRANSACTIONS on Electronics   Vol.E79-C    No.4    pp.538-548
Publication Date: 1996/04/25
Online ISSN: 
Print ISSN: 0916-8516
Type of Manuscript: Special Section PAPER (Special Issue on Ultra-High-Speed LSIs)
4-2 compressor,  multiplier,  redundant binary,  transmission gate,  CMOS circuit,  

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This paper describes the design of a high-speed 4-2 compressor for fast multipliers. Through the survey of the six kinds of representative conventional 4-2 compressor (RBA 1-3 and NBA 1-3) in both the redundant binary (RB) and the normal binary (NB) scheme, we extracted two problems that degrades the operating speed. The first is the use of multi-input complex gates and the second is the existence of transmission gates (TG) at the input and/or output stages. To solve these problems, we propose high-speed 4-2 compressors using the RB scheme, which we call the high-speed redundant binary adders (HSRBAs). Six kinds of HSRBAs, HSRBA 1-6, were derived by making the Boolean equations suitable for high-speed CMOS circuits. Among them, HSRBA2, HSRBA4 and HSRBA6 have no multi-input complex gate and input/output TG, and perform at a delay time of 0.89 ns which is the fastest of all 4-2 compressors. We investigated the logical relation between HSRBAs and conventional 4-2 compressors by analyzing the Boolean equations for each circuit. This investigation shows that all the conventional redundant binary adders RBA1-3 have the same logic structures as HSRBA2. We also showed the conventional normal binary adders NBA1-3 have the same logic structures as HSRBA1, HSRBA3 and HSRBA5, respectively. This implies all 4-2 compressors can be derived from the same equation regardless of RB or NB. We applied the HSRBA2 to a 5454-bit multiplier using 0.5-µm CMOS technology. The multiplication time at the supply voltage of 3.3 V was 8.8 ns. This is the fastest 5454-bit multiplier with 0.5-µm CMOS so far, and 83% of the speed improvement is due to the high speed 4-2 compressor.