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

Tariq Jamil*, Usman Ali

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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
Issue number2
Publication statusPublished - Apr 1 2014
Externally publishedYes


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

ASJC Scopus subject areas

  • General Computer Science
  • Electrical and Electronic Engineering


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