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

Tariq Jamil; Usman Ali

doi:10.11591/ijece.v4i2.5283

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

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (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 language	English
Pages (from-to)	295-302
Number of pages	8
Journal	International Journal of Electrical and Computer Engineering
Volume	4
Issue number	2
DOIs	https://doi.org/10.11591/ijece.v4i2.5283
Publication status	Published - Apr 1 2014

Keywords

Binary number
Complex binary
Complex number
Multiple shift
Shift left

ASJC Scopus subject areas

Computer Science(all)
Electrical and Electronic Engineering

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10.11591/ijece.v4i2.5283

Cite this

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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.",

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KW - Complex number

KW - Multiple shift

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

Abstract

Keywords

ASJC Scopus subject areas

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