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Analysis of Multiple-Bit Shift-Left Operations on Complex Numbers in (−1+j)-Base Binary Format

Year: 2014

Type: article

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. DOI: http://dx.doi.org/10.11591/ijece.v4i2.5283

Source: International Journal of Electrical and Computer Engineering (IJECE)

DOI: 10.11591/ijece.v4i2.5283

Authors: Tariq Jamil, Usman Ali

Institutions: Sultan Qaboos University, Université Paris Cité

Language: English

Topic: Numerical Methods and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W1998530004

FWCI:

Cites: 4

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Related to: 10