Effects of shift-left operations on complex binary numbers

Tariq Jamil*, Usman Ali

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

1 Citation (Scopus)


Complex numbers play a very important role in various applications of electrical and computer engineering. These days, arithmetic operations dealing with these numbers rely on a "divide-and-conquer" technique wherein a complex number is broken into its real and imaginary parts and then, after representing each part in binary number system, operation is carried out on each part as if part of the real arithmetic. Thus, addition of two complex numbers requires two separate additions and their multiplication requires four individual multiplications, one subtraction and one addition. In an effort to reduce the number of arithmetic operations within the realm of complex arithmetic, binary number system with base (-1+j), called complex binary number system, has been proposed in the literature which allows a complex number to be represented as single-unit instead of two separate units as in the base-2 binary number system. In this paper, the effects of shift-left operations on complex binary numbers have been examined.

Original languageEnglish
Article number1557378
Pages (from-to)2005-2008
Number of pages4
JournalCanadian Conference on Electrical and Computer Engineering
Publication statusPublished - 2005
EventCanadian Conference on Electrical and Computer Engineering 2005 - Saskatoon, SK, Canada
Duration: May 1 2005May 4 2005


  • Binary number
  • Complex binary number
  • Complex number
  • Shift-left

ASJC Scopus subject areas

  • Hardware and Architecture
  • Electrical and Electronic Engineering


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