A High-Speed Multiplication Algorithm Using Modified Partial Product Reduction Tree

Multiplication algorithms have considerable effect on processors performance. A new high-speed, low-power multiplication algorithm has been presented using modified Dadda tree structure. Three important modifications have been implemented in inner product generation step, inner product reduction step and final addition step. Optimized algorithms have to be used into basic computation components, such as multiplication algorithms. In this paper, we proposed a new algorithm to reduce power, delay, and transistor count of a multiplication algorithm implemented using low power modified counter. This work presents a novel design for Dadda multiplication algorithms. The proposed multiplication algorithm includes structured parts, which have important effect on inner product reduction tree. In this paper, a 1.3V, 64-bit carry hybrid adder is presented for fast, low voltage applications. The new 64-bit adder uses a new circuit to implement the proposed carry hybrid adder. The new adder using 80 nm CMOS technology has been implemented on 700 MHz clock frequency. The proposed multiplication algorithm has achieved 14 percent improvement in transistor count, 13 percent reduction in delay and 12 percent modification in power consumption in compared with conventional designs.

Authors:

• P. Asadee

Keywords:

• adder
• CMOS
• counter
• Dadda tree
• encoder.

References:

[1] R.P. Brent and H.T. Kung, "A regular layout for parallel adders", IEEE
Trans. Comput., vol. C-31, pp. 260-264, Mar. 1982.
[2] A. Goldovsky, B. Patel and B. Schulte, "Design and implementation of
a 16 by 16 low-power two's complement multiplier", ISCAS 2000
Geneva, vol. 5, pp. 345-348.
[3] G. Goto., et. al., "A 4.1-ns compact 54*54-b multiplier utilizing signselect
Booth encoders", IEEE J. Solid-State Circuits, vol. 32, pp. 1676-
1682, Nov. 1997.
[4] X. Huang, et. al., "High-performance VLSI multiplier with a new
redundant binary coding", Journal of VLSI Signal processing, vol. 3,
pp. 283-291, Oct. 1991.
[5] P. Giopeen, "Novel and Efficient four to two counters", ISCAS 2000
Geneva, vol. 5, pp. 312-319.
[6] D. Kudeeth., "Implementation of low-power multipliers", Journal of
low-power electronics, vol. 2, 5-11, 2006.
[7] K.H. Ching, "A novel carry-lookahead adder", Proc. International
symposium low-power electronics and design, 1998.
[8] H. Lee, "A High-Speed Booth Multiplier", ICCS 2002.
[9] T.Y. Tang, and C.S. Choy, "Design of self-timed asynchronous Booth's
multiplier", in Proc. Asia South Pacific Design Automation Conf., Jan
2000, pp. 15-19.
[10] K. Numba and H. Itu, "High-speed design for Wallace multiplier",
ISSCC 2003.
[11] Y.N. Ching, "Low-power high-speed multipliers", IEEE Transactions
on Computers, vol. 54, no. 3, pp. 355-361, 2005.
[12] M. Sheplie, "High performance array multiplier", IEEE transactions on
very large scale integration systems, vol. 12, no. 3, pp. 320-325, 2004.