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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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)
T. Jamil, The complex binary number system: Basic arithmetic made simple. IEEE Potentials 20(5), 39–41 (2002)
T. Jamil, An introduction to complex binary number system, in Proceedings of the 4th International Conference on Information and Computing, pp. 229–232 (2011)
D. Blest, T. Jamil, Efficient division in the binary representation of complex numbers, in Proceedings of the IEEE Southeastcon, pp. 188–195 (2001)
D. Blest, T. Jamil, Division in a binary representation for complex numbers. Int. J. Math. Educ. Sci. Tech. 34(4), 561–574 (2003)
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)
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)
T. Jamil, Impact of shift operations on (−1+j)-base complex binary numbers. J. Comput. 3(2), 63–71 (2008)
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)
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)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2013 The Author(s)
About this chapter
Cite this chapter
Jamil, T. (2013). Arithmetic Algorithms. In: Complex Binary Number System. SpringerBriefs in Electrical and Computer Engineering. Springer, India. https://doi.org/10.1007/978-81-322-0854-9_3
Download citation
DOI: https://doi.org/10.1007/978-81-322-0854-9_3
Published:
Publisher Name: Springer, India
Print ISBN: 978-81-322-0853-2
Online ISBN: 978-81-322-0854-9
eBook Packages: EngineeringEngineering (R0)