Skip to main content

Introduction

  • Chapter
  • First Online:
Complex Binary Number System

Part of the book series: SpringerBriefs in Electrical and Computer Engineering ((BRIEFSELECTRIC))

  • 1211 Accesses

Abstract

Complex numbers play a truly unique and important role in the realm of modern science and engineering. Using these numbers it is possible to locate a point within two dimensions of a Cartesian co-ordinate system. Therefore, these numbers are used extensively in digital signal processing algorithms and image processing applications. In this chapter we are going to review basic theory about complex numbers and arithmetic operations involving such type of numbers. This will enable us to justify the need for a more efficient representation of these numbers in computer architecture.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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. D.E. Knuth, An imaginary number system. Commun. ACM 3, 345–347 (1960)

    Article  MathSciNet  Google Scholar 

  2. W. Penney, A numeral system with a negative base. Math. Student J. 11(4), 1–2 (1964)

    Google Scholar 

  3. W. Penney, A binary system for complex numbers. J. ACM 12(2), 247–248 (1964)

    Article  MathSciNet  Google Scholar 

  4. V.N. Stepanenko, Computer arithmetic of complex numbers. Cybernet. Syst. Anal. 32(4), 585–591 (1996)

    Article  MATH  Google Scholar 

  5. T. Jamil, N. Holmes, D. Blest. Towards implementation of a binary number system for complex numbers. in Proceedings of the IEEE Southeastcon, 268–274 (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tariq Jamil .

Rights and permissions

Reprints and permissions

Copyright information

© 2013 The Author(s)

About this chapter

Cite this chapter

Jamil, T. (2013). Introduction. In: Complex Binary Number System. SpringerBriefs in Electrical and Computer Engineering. Springer, India. https://doi.org/10.1007/978-81-322-0854-9_1

Download citation

  • DOI: https://doi.org/10.1007/978-81-322-0854-9_1

  • Published:

  • Publisher Name: Springer, India

  • Print ISBN: 978-81-322-0853-2

  • Online ISBN: 978-81-322-0854-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics