Skip to main content

Abstract

In a digital verification system, multipliers play a crucial role. In practice, multipliers are grouped in to unsigned and signed types. An unsigned multiplier performs the multiplication of two unsigned binary numbers, whereas in signed multiplier, the multiplication is performed by each bit of binary numbers. It may be extended within its range or a valid result. In the literature, number of approaches has been reported that defines signed multiplication such as Booth, Array multiplier, Wallace tree, and Baugh-Wooley. They suggested high-speed signed multiplication algorithms. However, there is a scope of improvising the performance delay, power, and speed in the signed multiplier. In this paper, we design a signed multiplier using “Urdhva Tiryagbhyam” (UT) sutra. The proposed design presents an architecture that is used to multiply unsigned decimal number to signed binary number. With the use of the UT sutra, the proposed signed binary multipliers design helps in reducing the area, while the system performance is improvised. The suggested design is synthesized using ISE Xilinx 14.5 and implemented using different field programmable gate array (FPGA) devices. For validation, the proposed design is compared with the previously reported architectures. From the results, the superiority of the suggested design is claimed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Tirtha S, Agrawala V, Agrawala S (1992) Vedic mathematics. Motilal Banarsi Dass Publ, India

    Google Scholar 

  2. Patali P, Kassim S (2020) An efficient architecture for signed carry save multiplication. IEEE Lett Comput Soc 3(1):9–12

    Article  Google Scholar 

  3. Parhami B (2010) Computer arithmetic: algorithms and hardware designs. Oxford University Press, New York

    Google Scholar 

  4. Poornima M, Shivukumar S, Shridhar KP, Sanjay H (2013) Implementation of multiplier using vedic algorithm. Int J Innov Technol Explor Eng 2(6):219–223

    Google Scholar 

  5. Gorgin S, Jaberipur G (2009) A fully redundant decimal adder and its application in parallel decimal multipliers. Microelectron J 40(10):1471–1481

    Article  Google Scholar 

  6. Thapliyal H, Arbania HR (2004) A time-area-power efficient multiplier and square architecture based on ancient Indian vedic mathematics. In: Proceedings of the international conference on VLSI (VLSI’04), Las Vegas, Nevada, pp 434–439

    Google Scholar 

  7. Thapliyal H, Srinivas MB (2004) High speed efficient N × N parallel hierarchical overlay multiplier architecture based on ancient Indian vedic mathematics. Trans Eng Comput Technol

    Google Scholar 

  8. Sahoo S, Bhoi B, Pradhan M (2020) Fast signed multiplier using Vedic Nikhilam algorithm. IET Circuits Dev Syst 14(8):1160–1166

    Article  Google Scholar 

  9. Barik R, Pradhan M (2017) Efficient ASIC and FPGA implementation of cube architecture. IET Comput Digital Tech 11(1):43–49

    Article  Google Scholar 

  10. Kasliwal PS, Patil BP, Gautam DK (2011) Performance evaluation of squaring operation by vedic mathematics. IETE J Res 57(1):39–41

    Article  Google Scholar 

  11. Sethi K, Panda R (2015) Multiplier less high-speed squaring circuit for binary numbers. Int J Electron 102(3):433–443

    Article  Google Scholar 

  12. Bansal Y, Madhu C (2016) A novel high-speed approach for 16 × 16 vedic multiplication with compressor adders. Comput Electr Eng 49:39–49

    Article  Google Scholar 

  13. He Y, Yang J, Chang H (2017) Design and evaluation of booth- encoded multipliers in redundant binary representation. In: Proceedings of embedded systems design with special arithmetic and number systems, pp 113–147

    Google Scholar 

  14. Palnitkar S (2003) Verilog HDL: a guide to digital design and synthesis. Prentice Hall Professional, India

    Google Scholar 

  15. Barik RK, Pradhan M, Panda R (2017) Time efficient signed vedic multiplier using redundant binary representation. J Eng 2017(3):60–68

    Article  Google Scholar 

  16. Madenda S, Harmanto S (2021) New approaches of signed binary number multiplication and its implementation in FPGA. Jurnal Ilmiah Teknologi dan Rekayasa 26(1):56–68

    Article  Google Scholar 

  17. Imaña JL (2021) Low-delay FPGA-based implementation of finite field multipliers. IEEE Trans Circuits Syst II Express Briefs 68(8):2952–2956

    Google Scholar 

  18. Ullah S, Schmidl H, Sahoo SS, Rehman S, Kumar A (2020) Area-optimized accurate and approximate softcore signed multiplier architectures. IEEE Trans Comput 70(3):384–392

    Article  MathSciNet  Google Scholar 

  19. Paldurai K, Hariharan K (2015) Implementation of signed vedic multiplier targeted at FPGA architectures. ARPN J Eng Appl Sci 10(5):2193–2197

    Google Scholar 

  20. Pichhode K, Patil M, Shah D, Chaurasiya B (2015) FPGA implementation of efficient vedic multiplier. In: Proceedings of international conference of IEEE, pp 565–570

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Niharika Behera .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Behera, N., Pradhan, M., Mishro, P.K. (2023). Analysis of Delay in 16 × 16 Signed Binary Multiplier. In: Yadav, R.P., Nanda, S.J., Rana, P.S., Lim, MH. (eds) Proceedings of the International Conference on Paradigms of Computing, Communication and Data Sciences. Algorithms for Intelligent Systems. Springer, Singapore. https://doi.org/10.1007/978-981-19-8742-7_13

Download citation

Publish with us

Policies and ethics