CFP last date
20 January 2025
Reseach Article

A Novel and High Performance Implementation of 8x8 Multiplier based on Vedic Mathematics using 90nm Hybrid PTL /CMOS Logic

by Navya Rajput, Ankit Jindal, Sahil Saroha, Ritesh Kumar, Geetanjali Sharma
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 69 - Number 27
Year of Publication: 2013
Authors: Navya Rajput, Ankit Jindal, Sahil Saroha, Ritesh Kumar, Geetanjali Sharma
10.5120/12146-8461

Navya Rajput, Ankit Jindal, Sahil Saroha, Ritesh Kumar, Geetanjali Sharma . A Novel and High Performance Implementation of 8x8 Multiplier based on Vedic Mathematics using 90nm Hybrid PTL /CMOS Logic. International Journal of Computer Applications. 69, 27 ( May 2013), 27-33. DOI=10.5120/12146-8461

@article{ 10.5120/12146-8461,
author = { Navya Rajput, Ankit Jindal, Sahil Saroha, Ritesh Kumar, Geetanjali Sharma },
title = { A Novel and High Performance Implementation of 8x8 Multiplier based on Vedic Mathematics using 90nm Hybrid PTL /CMOS Logic },
journal = { International Journal of Computer Applications },
issue_date = { May 2013 },
volume = { 69 },
number = { 27 },
month = { May },
year = { 2013 },
issn = { 0975-8887 },
pages = { 27-33 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume69/number27/12146-8461/ },
doi = { 10.5120/12146-8461 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:31:28.062747+05:30
%A Navya Rajput
%A Ankit Jindal
%A Sahil Saroha
%A Ritesh Kumar
%A Geetanjali Sharma
%T A Novel and High Performance Implementation of 8x8 Multiplier based on Vedic Mathematics using 90nm Hybrid PTL /CMOS Logic
%J International Journal of Computer Applications
%@ 0975-8887
%V 69
%N 27
%P 27-33
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Power consumption plays an imperative role specifically in the field of VLSI today, every designer be it an analog circuit or a digital circuit designer is concerned about the amount of power his or her circuit is going to consume in the end. The core of this paper consist of the introduction of a novel and high performance design of an 8x8 multiplier using ancient Indian mathematics called Vedas. This paper presents four different designs which includes 8x8 Vedic multiplier and 8x8 array multiplier implementation using CMOS and Hybrid PTL/ CMOS logic style and finally proved that Hybrid PTL(Pass Transistor Logic)/CMOS design of Vedic Multiplier is the best among all these implementations . The multiplier and the adder-subtractor units used for the implementation of Vedic multiplier are adopted from ancient methodology of India mathematics called as Vedas. The use of Vedas not only abates the carry propagation taking place from LSB to MSB but also produces the partial product and there sums in the same step. Vedic mathematics based multipliers thus causes least delay and consume least power among these four multipliers. The functionality of all the four designs and there PDP and power calculations at three different frequencies and four different voltages were calculated on 90 nm CMOS technology using tanner EDA 13. 0v. The proposed Hybrid PTL/CMOS implementation of Vedic multiplier is up to 34. 29% power efficient and about 49. 82% speedy as compared to the conventional CMOS implementation of array multiplier.

References
  1. Jagadguru Swami, Sri Bharati Krisna, Tirthaji Maharaja, "Vedic Mathematics or Sixteen Simple Mathematical Formulae from the Veda, Delhi (1965)", Motilal Banarsidas, Varanasi, India, 1986.
  2. Ramalatha, M. Dayalan, K D Dharani, P Priya, and S Deoborah, "High Speed Energy Efficient ALU Design using Vedic Multiplication Techniques", International Conference on Advances in Computational Tools for Engineering Applications (ACTEA) IEEE, pp. 600-603, July 15-17, 2009.
  3. P. K. Saha, A. Banerjee, and A. Dandapat, "High Speed Low Power Complex Multiplier Design Using Parallel Adders and Subtractors, "International Journal on Electronic and Electrical Engineering, (JEEE), Vol 07, no. II, pp. 38-46, Dec. 2009.
  4. S. He, and M. Torkelson, "A pipelined bit-serial complex multiplier using distributed arithmetic," in proceedings IEEE International Symposium on Circuits and Systems, Seattle, W A, April 30-May03,1995,pp. 2313-2316.
  5. P. Mehta and D. Gawali, "Conventional versus Vedic mathematical method for Hardware implementation of a multiplier. " In Proceedings IEEE international conference on Advances in Computing, Control and Telecommunication Technologies. Trivandrum, Kerela, Dec. 28-29, 2009, pp. 640-642.
  6. C. S. Wallace, "A suggestion for a fast multiplier," IEE Trans. Electronic Computer. , vol. EC-13, pp. 14-17, Dec. 1964.
  7. H. D. Tiwari, G. Gankhuyag, C. M. Kim, and Y. b. Cho,"Multiplier design based in ancient Indian Vedic Mathematics," in Proceeding IEEE International SoC Design Conference, Bussan, Nov. 24-25,2008,pp. 65-68.
  8. Z. Huang, and M. D. Ercegovanc, "High-Performance Lox-Power Left-to-Right Array Multiplier Design," IEEE Transactions in computers, vol54,no. 3,pp 272-283,March 2005.
  9. T. Aoki ,K. Hoshi, and T. Higuchi, "Redundant complex arithmetic and its application to complex multiplier design ," in proceedings 29th IEEE International symposium on Multiplier-Valued-Logic, Freiburg, May 20-22,1999 , pp. 200-207.
  10. S. Vaidya and D. Dandekar,"Delay-Power Performance Comparison of Multipliers in VLSI Circuit Design," in International Journal of Computer Networks & Communications (IJCNC), Vol. 2, No. 4, July 2010.
  11. S. He, and M, Torkelson, "A pipelined bit serial complex multiplier using distributed arithmetic," in proceedings IEEE International symposium on circuits and Systems. Seattle, WA, April 20-May-03, 1995, pp. 2313-2316.
  12. K. K. Mehta and P. Verma,"Implementation of an efficient Multiplier based on Vedic mathematics using EDA tools, "in International Journal of Engineering and Advanced Technology (IJEAT) ISSN: 2249 – 8958, Volume-1, Issue-5, June 2012.
Index Terms

Computer Science
Information Sciences

Keywords

Vedic Mathematics Multiplier PDP