Analysis of multiple-bit shift-left operations on complex numbers in (-1+j)-base binary format

Tariq Jamil, Usman Ali

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Complex numbers find various applications in the field of engineering. To avoid excessive delays in production of results obtained by implementing divide-and-conquer technique in dealing with arithmetic operations involving this type of numbers in today's computer systems, Complex Binary Number System with base(-1+j) has been proposed in scientific literature. In this paper, we have investigated the effects of bit-wise shift left operations (from 1-8 bits) on the complex binary representation of complex numbers and analyzed these results using mathematical equations.

Original languageEnglish
Pages (from-to)295-302
Number of pages8
JournalInternational Journal of Electrical and Computer Engineering
Volume4
Issue number2
Publication statusPublished - Apr 1 2014

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Numbering systems
Computer systems

Keywords

  • Binary number
  • Complex binary
  • Complex number
  • Multiple shift
  • Shift left

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Science(all)

Cite this

Analysis of multiple-bit shift-left operations on complex numbers in (-1+j)-base binary format. / Jamil, Tariq; Ali, Usman.

In: International Journal of Electrical and Computer Engineering, Vol. 4, No. 2, 01.04.2014, p. 295-302.

Research output: Contribution to journalArticle

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