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A Modified Partial Product Generator for Redundant Binary
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A Modified Partial Product Generator for Redundant Binary

Category : VLSI


Sub Category : AREA EFFICIENT


Project Code : ITVL04


Project Abstract

          Due to its high modularity and carry-free addition, a redundant binary (RB) representation can be used when designing high performance multipliers. The conventional RB multiplier requires an additional RB partial product (RBPP) row, because an error-correcting word (ECW) is generated by both the radix-4 Modified Booth encoding (MBE) and the RB encoding. This incurs in an additional RBPP accumulation stage for the MBE multiplier. In this paper, a new RB modified partial product generator (RBMPPG) is proposed; it removes the extra ECW and hence, it saves one RBPP accumulation stage. Therefore, the proposed RBMPPG generates fewer partial product rows than a conventional RB MBE multiplier. Simulation results show that the proposed RBMPPG based designs significantly improve the area and power consumption when the word length of each operand in the multiplier is at least 32 bits; these reductions over previous NB multiplier designs incur in a modest delay increase (approximately 5%). The power-delay product can be reduced by up to 59% using the proposed RB multipliers when compared with existing RB multipliers.

 

EXISTING SYSTEM

PROPOSED  SYSTEM

EXISTING CONCEPT :          

         A RB multiplier consists of a RB partial product (RBPP) generator, a RBPP reduction tree and a RB-NB converter.

         A Radix-4 Booth encoding or a modified Booth encoding (MBE) is usually used in the partial product generator of parallel multipliers to reduce the number of partial product rows by half.

PROPOSED CONCEPT :   

         We proposed a new RB modified partial product generator based on MBE (RBMPPG-2) is presented in this section; in this design, ECW is eliminated by incorporating it into both the two MSBs of the first partial product row and the two LSBs of the last partial product row.

EXISTING TECHNIQUE:

·         RB Partial Product Generator

·         As two bits are used to represent one RB digit, then a RBPP is generated from two NB partial products. The addition of two N-bit NB partial products X and Y using two’s complement representation.

PROPOSED TECHNIQUE:  

         RB modified partial product generator.

         The proposed RBMPPG-2 scheme for an 8x8-bit multiplier. It is different from the scheme in where all the error-correcting terms are in the last row.

DRAWBACKS:

·         Low-Throughput.

·         Occupied area & delay high.

·         Increase the system complexity.

ADVANTAGES:

         High-Throughput. 

         Less area &delay.

         Reduces the system complexity .

 
 
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