High Speed Arithmetic: Interleaved Modular Multipliers Using Radix 8 Booth Encoder

Abstract

Booth multiplication algorithm leads to faster performance compared to lot of other algorithms. Various encoding styles are available depending upon number of bits in the group such as radix-2, radix-4, radix-8, radix-16, etc. In this paper radix-8 Booth encoded modular multipliers based on interleaved multiplication algorithm are discussed. We can reduce the number of partial products by using radix-8 in the multiplier encoding, thereby obtaining a simpler CSA tree .This results in less delay and a smaller area size. This multiplication operation can be performed for both signed and unsigned numbers as a result the cost of the system can also be reduced. The carry save adder(CSA) tree implementation can speed up the operation of multiplier. Kogge Stone adders are implemented to improve the efficiency. Kogge Stone adders is a parallel prefix form carry look ahead adder and it can be determined by replacing carry save adder(CSA) tree and the final two operand parallel prefix adder with a parallel prefix adders of Kogge Stone algorithm. Booth encoding is an encoding process used to minimize the number of partial products in a multiplication process.

Authors and Affiliations

Deepthi R Shetty, Ashwath Rao, Praveen Kumar M

Keywords

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  • EP ID EP439227
  • DOI 10.9790/2834-1304013133.
  • Views 132
  • Downloads 0

How To Cite

Deepthi R Shetty, Ashwath Rao, Praveen Kumar M (2018). High Speed Arithmetic: Interleaved Modular Multipliers Using Radix 8 Booth Encoder. IOSR Journal of Electronics and Communication Engineering(IOSR-JECE), 13(4), 31-33. https://europub.co.uk/articles/-A-439227