Skip to main content

Low-Power and Area-Efficient Design of Higher-Order Floating-Point Multipliers Using Vedic Mathematics

  • Conference paper
  • First Online:
Emerging Trends in Electrical, Communications, and Information Technologies

Abstract

Floating-point arithmetic units form the backbone of the state-of-the-art digital signal processing algorithms. Low power and area efficient design is always a key requirement for applications that use these algorithms. This requirement is more relevant for computationally intensive jobs that use higher-order multipliers. This paper attempts to study the possibility of addressing this issue using vedic arithmetic based floating-point unit. Vedic mathematics is an ancient Indian mathematics system that has come back to prominence in the last century. In this paper, we design a IEEE 754 single precision floating-point multiplier with the integer multiplication being carried out in a vedic mathematics style using different sutras. Nikhilam and Urdhva Tiryagbhyam sutras and their combination are used to design the same. This implementation is compared with conventional implementations using Booth and array multipliers. The designs are simulated using Verilog and synthesized using gpdk 90 nm technology. The results show that vedic multiplier based design gives competing results for multipliers of larger sizes. Low power and area efficient design is achieved for higher order multipliers when the design is based on the combination of Nikhilam and Urdhva Tiryagbhyam sutras. Thus for DSP applications using large multipliers, it is envisaged this approach of vedic multiplier design would lead to more efficient system implementations.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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. Andraka R (1998) A survey of CORDIC algorithms for FPGA based computers. In: Proceedings of the 1998 ACM/SIGDA sixth international symposium on field programmable gate arrays. ACM, pp 191–200

    Google Scholar 

  2. Hamid LSA, Shehata K, El-Ghitani H, El- Said M (2010) Design of generic floating point multiplier and adder/subtractor units. In: 2010 12th international conference on computer modelling and simulation (UKSim). IEEE, pp 615–618

    Google Scholar 

  3. Marcus G, Hinojosa P, Avila A, Nolazco-FIores J (2004) A fully synthesizable single-precision, floating-point adder/substractor and multiplier in VHDL for general and educational use. In: Proceedings of the fifth ieee international caracas conference on devices, circuits and systems, 2004, vol 1. IEEE, pp 319–323

    Google Scholar 

  4. Prabhu E, Mangalam H, Karthick S (2016) Design of area and power efficient Radix-4 DIT FFT butterfly unit using floating point fused arithmetic. J Cent South Univ 23(7):1669–1681

    Article  Google Scholar 

  5. M. M. Mano et al., “Computer system architecture,” 1982

    Google Scholar 

  6. Booth AD (1951) A signed binary multiplication technique. Q J Mech Appl Math 4(2):236–240

    Article  MathSciNet  Google Scholar 

  7. Al-Ashrafy M, Salem A, Anis W (2011) An efficient implementation of floating point multiplier. In: 2011 Saudi international electronics, communications and photonics conference (SIECPC). IEEE, pp 1–5

    Google Scholar 

  8. Ramteke P, Mhala N, Lakhe P (2014) An efficient implementation of double precision floating point multiplier using booth algorithm. Int J Adv Res Electr Electron Instrum Eng 3(7)

    Article  Google Scholar 

  9. Tiwari HD, Gankhuyag G, Kim CM, Cho YB (2008) Multiplier design based on ancient indian vedic mathematics. In: ISOCC’08. international SoC design conference, 2008, vol 2. IEEE, pp II–65

    Google Scholar 

  10. Kanhe A, Das SK, Singh AK (2012) Design and implementation of floating point multiplier based on vedic multiplication technique. In: 2012 international conference on communication, information & computing technology (ICCICT), 2012, pp 19–20

    Google Scholar 

  11. Havaldar S, Gurumurthy K (2016) Design of vedic IEEE 754 floating point multiplier. In: IEEE international conference on recent trends in electronics, information & communication technology (RTEICT). IEEE, pp 1131–1135

    Google Scholar 

  12. Patel P, Shandilya A, Brahmbhatt N, Raval K, Deb D (2015) Vedic and conventional methods of n n binary multiplication with hardware implementation. In: International conference on smart sensors and systems (IC-SSS). IEEE, pp 1–6

    Google Scholar 

  13. Budhiraja H, Syed M, Ramya MA (2016) Verilog implementation of vedic multiplier. Int J Adv Eng Tech, Manag Appl Sci 3(5)

    Google Scholar 

  14. Jithin S, Prabhu E (2015) Parallel multiplier-accumulator unit based on vedic mathematics. ARPN J Eng Appl Sci 9(22):3608–3613

    Google Scholar 

  15. Zuras D, Cowlishaw M, Aiken A, Applegate M, Bailey D, Bass S, Bhandarkar D, Bhat M, Bindel D, Boldo S et al (2008) IEEE standard for floating-point arithmetic. IEEE Std 754-2008, pp 1–70

    Google Scholar 

  16. Rao YS, Kamaraju M, Ramanjaneyulu D (2015) An FPGA implementation of high speed and area efficient double-precision floating point multiplier using Urdhva Tiryagbhyam technique. In: 2015 conference on power, control, communication and computational technologies for sustainable growth (PCCCTSG). IEEE, pp 271–276

    Google Scholar 

  17. Bharath JSS, Tirathji K (1986) Vedic mathematics or sixteen simple sutras from the vedas. Motilal Banarsidas, Varanasi (India)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Karthi Balasubramanian .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Loganathan, H., Rohit, P., Suneel, P.S., Balasubramanian, K. (2020). Low-Power and Area-Efficient Design of Higher-Order Floating-Point Multipliers Using Vedic Mathematics. In: Hitendra Sarma, T., Sankar, V., Shaik, R. (eds) Emerging Trends in Electrical, Communications, and Information Technologies. Lecture Notes in Electrical Engineering, vol 569. Springer, Singapore. https://doi.org/10.1007/978-981-13-8942-9_39

Download citation

  • DOI: https://doi.org/10.1007/978-981-13-8942-9_39

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-8941-2

  • Online ISBN: 978-981-13-8942-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics