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Arithmetic Algorithms

  • Tariq Jamil
Chapter
Part of the SpringerBriefs in Electrical and Computer Engineering book series (BRIEFSELECTRIC)

Abstract

In this chapter, algorithms for performing arithmetic operations on complex binary numbers, as well as effects of shift operations on this type of numbers, will be described. We will discuss addition, subtraction, multiplication, and division algorithms for complex binary numbers along with some examples. Then, we will describe the results of implementing multiple-bits shift-left and shift-right operations on various types of complex numbers represented in CBNS.

References

  1. 1.
    T. Jamil, N. Holmes, D. Blest, Towards implementation of a binary number system for complex numbers, in Proceedings of the IEEE Southeastcon, pp. 268–274 (2000)Google Scholar
  2. 2.
    T. Jamil, The complex binary number system: Basic arithmetic made simple. IEEE Potentials 20(5), 39–41 (2002)Google Scholar
  3. 3.
    T. Jamil, An introduction to complex binary number system, in Proceedings of the 4th International Conference on Information and Computing, pp. 229–232 (2011)Google Scholar
  4. 4.
    D. Blest, T. Jamil, Efficient division in the binary representation of complex numbers, in Proceedings of the IEEE Southeastcon, pp. 188–195 (2001)Google Scholar
  5. 5.
    D. Blest, T. Jamil, Division in a binary representation for complex numbers. Int. J. Math. Educ. Sci. Tech. 34(4), 561–574 (2003)Google Scholar
  6. 6.
    T. Jamil, U. Ali, Effects of shift-left operations on complex binary numbers, in Proceedings of the 18th Annual Canadian Conference on Electrical and Computer Engineering, pp. 1951–1954 (2005)Google Scholar
  7. 7.
    T. Jamil, U. Ali, An investigation into the effects of multiple-bit shift-left operations on (−1+j)-base representation of complex numbers, in Proceedings of the International Conference on Computer and Communication Engineering (1), pp. 549–554 (2006)Google Scholar
  8. 8.
    T. Jamil, Impact of shift operations on (−1+j)-base complex binary numbers. J. Comput. 3(2), 63–71 (2008)Google Scholar
  9. 9.
    U. Ali, T. Jamil, S. Saeed, Effects of shift-right operations on binary representation of complex numbers, in Proceedings of the International Conference on Communication, Computer and Power, pp. 238–243 (2005)Google Scholar
  10. 10.
    T. Jamil, U. Ali, Effects of multiple-bit shift-right operations on complex binary numbers, in Proceedings of the IEEE SoutheastCon, pp. 759–764 (2007)Google Scholar

Copyright information

© The Author(s) 2013

Authors and Affiliations

  1. 1.Department of Electrical and Computer EngineeringSultan Qaboos UniversityMuscatOman

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