04786767

04786767 - 2008 International Conference on Electronic...

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An Efficient Modified Booth Multiplier Architecture Razaidi Hussin 1 , Ali Yeon Md. Shakaff 2 , Norina Idris 1 , Zaliman Sauli 1 , Rizalafande Che Ismail 1 and Afzan Kamarudin 1 2 School of Computer and Communication Engineering. 1 School of Microelectronic Engineering, Universiti Malaysia Perlis (UniMAP), P.O Box 77, d/a Pejabat Pos Besar, 01007 Kangar Perlis, Malaysia shidee@unimap.edu.my Abstract in this paper, we present the design of an efficient multiplication unit. This multiplier architecture is based on Radix 4 Booth multiplier. In order to improve his architecture, we have made 2 enhancements. The first is to modify the Wen-Chang’s Modified Booth Encoder (MBE) since it is the fastest scheme to generate a partial product. However, when implementing this MBE with the Simplified Sign Extension (SSE) method, the multiplication’s output is incorrect. The 2 nd part is to improve the delay in the 4:2 compressor circuit. The redesigned 4:2 compressor reduced the delay of the Carry signal. This modification has been made by rearranging the Boolean equation of the Carry signal. This architecture has been designed using Quartus II. The Gajski rule has been adopted in order to estimate the delay and size of the circuit. The total transistor count for this new multiplier is being a slightly bigger. This is due to the new MBE which is uses more transistor. However in performance speed, this efficiency multiplier is quite good. The propagation delay is reduced by about 2% – 7% from other designers. I INTRODUCTION With the constant growth of computer applications such as computer graphics and signal processing, fast arithmetic unit especially multipliers are becoming increasingly important. Advanced VLSI technology has given designer the freedom to integrate many complex components, which was not possible in the past. Various high speed multipliers have been proposed and realized [1, 2, 3, 5, 10, 11, and 12]. There are 2 operations in implementing a Modified Booth Multiplier design, which a generating the partial product and accumulating the entire partial product. In producing partial product the Booth Encoder and Booth Selector circuits are used. Accumulation of the partial product is done by the adder or compressor circuit. Ideally, the performance and size of the multiplier circuit are dependent on these two operations. The BE can be designed in many ways and the design will be tradeoff between area and speed. The BE which has a better performance in speed will be used in our design since the objective is developing the fast multiplier. However, this BE will create a problem when implementing the SSE method. In the accumulation part, all partial products must be accumulated to obtain the final result. A fast multi-operand adder such as the Wallace tree [4] or the carry save adder (CSA) tree using multi input counter and Compressor [5,6] should be employed for high speed accumulation. In this paper we evaluate Booth encoding with respect to the use of 4:2
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04786767 - 2008 International Conference on Electronic...

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