Skip to main content

2015 | OriginalPaper | Buchkapitel

Novel Approach of Multiplier Design Using Ancient Vedic Mathematics

verfasst von : Angshuman Khan, Rupayan Das

Erschienen in: Information Systems Design and Intelligent Applications

Verlag: Springer India

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Multiplication is the fundamental operation in mathematics as well as in the field of engineering. Multiplier is the core part of Digital Signal Processor. In this paper a new approach of multiplier design using the Vedic mathematics has been proposed. The procedure of multiplication using Vedic mathematics is very simple, easy and time saving. The design approach of multiplier by using the popular sutra “Ekanyunena Purvena” of Vedic mathematics is very new and novel. This procedure is successfully presented in this paper. The simple algorithm, flow chart, mathematical expression etc. helps the design to understand easily. The core architecture of the multiplier has been also discussed in this paper. The method discussed in this paper is very helpful for some special type of multiplication, like where the multiplicand is an integer and the multiplier is 9 or array of 9 (for example 9 or 99 or 999 or so on). The less complexity is the most important advantage of this digital design.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Thapliyal, H., Arbania, H.R.: A time-area-power efficient multiplier and square architecture based on ancient indian vedic mathematics. In: Proceedings of the 2004 International Conference on VLSI (VLSI’04), Las Vegas, Nevada, June 2004, pp. 434–439 Thapliyal, H., Arbania, H.R.: A time-area-power efficient multiplier and square architecture based on ancient indian vedic mathematics. In: Proceedings of the 2004 International Conference on VLSI (VLSI’04), Las Vegas, Nevada, June 2004, pp. 434–439
2.
Zurück zum Zitat Jagadguru Swami, Sri Bharati Krisna, Tirthaji Maharaja: Vedic Mathematics or Sixteen Simple Mathematical Formulae From the Veda, Delhi, Motilal Banarsidas, Varanasi, India (1965) Jagadguru Swami, Sri Bharati Krisna, Tirthaji Maharaja: Vedic Mathematics or Sixteen Simple Mathematical Formulae From the Veda, Delhi, Motilal Banarsidas, Varanasi, India (1965)
4.
Zurück zum Zitat Saha, P., et al.: Improved matrix multiplier design for high speed signal processing applications. IET Circuits Devices 7 Syst. 8(1), 27–37 (2014)CrossRef Saha, P., et al.: Improved matrix multiplier design for high speed signal processing applications. IET Circuits Devices 7 Syst. 8(1), 27–37 (2014)CrossRef
5.
Zurück zum Zitat Meheta, P., Gawali, D.: Conventional versus vedic mathematical method for hardware implementation of a multiplier. In: Proceedings of IEEE International Conferences on Advances in Computing, Control and Telecommunication, pp. 640–642, Trivandrum, Kerala (2009) Meheta, P., Gawali, D.: Conventional versus vedic mathematical method for hardware implementation of a multiplier. In: Proceedings of IEEE International Conferences on Advances in Computing, Control and Telecommunication, pp. 640–642, Trivandrum, Kerala (2009)
6.
Zurück zum Zitat Poornima, M., et al.: Implementation of multiplier using Vedic algorithm. IJITEE 2(6), 219–223 (2013) Poornima, M., et al.: Implementation of multiplier using Vedic algorithm. IJITEE 2(6), 219–223 (2013)
7.
Zurück zum Zitat Jeganathan Sriskandarajah: Secrets of ancient maths: vedic mathematics. Journal of Indic Studies Foundation, California Jeganathan Sriskandarajah: Secrets of ancient maths: vedic mathematics. Journal of Indic Studies Foundation, California
8.
Zurück zum Zitat Chakrabarty, S.M., Kolluru, R..: Enjoy vedic mathematics. The Art of Living (Diamond Books), 31 Oct 2010 Chakrabarty, S.M., Kolluru, R..: Enjoy vedic mathematics. The Art of Living (Diamond Books), 31 Oct 2010
9.
Zurück zum Zitat Parhi, K.K.: VLSI Digital Signal Processing Systems: Design and Implementation. Wiley, London (1999) Parhi, K.K.: VLSI Digital Signal Processing Systems: Design and Implementation. Wiley, London (1999)
10.
Zurück zum Zitat Morris Mano, M.: Computer System Architecture, 3rd edn, pp. 346–348. Prentice-Hall, New Jersey (1993) Morris Mano, M.: Computer System Architecture, 3rd edn, pp. 346–348. Prentice-Hall, New Jersey (1993)
Metadaten
Titel
Novel Approach of Multiplier Design Using Ancient Vedic Mathematics
verfasst von
Angshuman Khan
Rupayan Das
Copyright-Jahr
2015
Verlag
Springer India
DOI
https://doi.org/10.1007/978-81-322-2247-7_28

Premium Partner