Towards implementation of a binary number system for complex numbers

Tariq Jamil, Neville Holmes, David Blest

Research output: Chapter in Book/Report/Conference proceedingConference contribution

13 Citations (Scopus)

Abstract

These days computer operations involving complex numbers are most commonly performed by dealing with the real and imaginary parts separately and then accumulating their individual results to get the final result of the operation. This divide-and-conquer technique forsakes the advantages of using complex numbers in computer arithmetic and there exists a need, at least for some problems, to treat a complex number as one unit and to carry out all operations in this form. In this paper, we have analyzed various available complex bases and proposed a (-1+j)-base binary number system for complex numbers. We have discussed the arithmetic operations of two such binary numbers and outlined work which is currently underway in this area of computer arithmetic.

Original languageEnglish
Title of host publicationConference Proceedings - IEEE SOUTHEASTCON
Pages268-274
Number of pages7
Publication statusPublished - 2000
EventIEEE SoutheastCon 2000 'Preparing for the New Millennium' - Nashville, TN, USA
Duration: Apr 7 2000Apr 9 2000

Other

OtherIEEE SoutheastCon 2000 'Preparing for the New Millennium'
CityNashville, TN, USA
Period4/7/004/9/00

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ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Jamil, T., Holmes, N., & Blest, D. (2000). Towards implementation of a binary number system for complex numbers. In Conference Proceedings - IEEE SOUTHEASTCON (pp. 268-274)