Springerbriefs in Electrical and Computer Engineering

Algorithms and Circuits

By: Tariq Jamil

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Paperback | 4 October 2012 | Edition Number 2013

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96 Pages

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16.5 x 23.8 x 0.7

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This book is a compilation of the entire research work on the topic of Complex Binary Number System (CBNS) carried out by the author as the principal investigator and members of his research groups at various universities during the years 2000-2012. Pursuant to these efforts spanning several years, the realization of CBNS as a viable alternative to represent complex numbers in an "all-in-one" binary number format has become possible and efforts are underway to build computer hardware based on this unique number system.

It is hoped that this work will be of interest to anyone involved in computer arithmetic and digital logic design and kindle renewed enthusiasm among the engineers working in the areas of digital signal and image processing for developing newer and efficient algorithms and techniques incorporating CBNS.

Industry Reviews

From the reviews:

"This is a monograph presenting the results of a dozen or so years research of the author devoted to purely binary representation of complex numbers and design of circuits for arithmetic operations on them. ... The topic of this book may be recommended as a facultative lecture for academic courses on digital arithmetic." (Antoni Michalski, Zentralblatt MATH, Vol. 1262, 2013)

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You Can Find This Book In

Non-Fiction Computing & I.T.Computer Programming & Software Development Algorithms & Data Structures Mathematics Calculus & Mathematical Analysis Complex Analysis Numerical Analysis Engineering & Technology Electronics & Communications Engineering Electronics Engineering Circuits & Components

Computer Science Computer Architecture & Logic Design Energy Technology & Engineering Electrical Engineering Computer Hardware

Introduction	p. 1
What is a Complex Number?	p. 1
Arithmetic Operations Involving Complex Numbers	p. 2
Justification for Complex Binary Number System	p. 2
What is Complex Binary Number System?	p. 3
References	p. 4
Conversion Algorithms	p. 5
Conversion Algorithms for Integers	p. 5
Conversion Algorithms for Fractional Numbers	p. 8
Conversion Algorithms for Floating-Point Numbers	p. 11
References	p. 11
Arithmetic Algorithms	p. 13
Addition Algorithm for Complex Binary Numbers	p. 13
Subtraction Algorithm for Complex Binary Numbers	p. 14
Multiplication Algorithm for Complex Binary Numbers	p. 15
Division Algorithm for Complex Binary Numbers	p. 17
Effect of Shift-Left Operations on Complex Binary Numbers	p. 19
Effect of Shift-Right Operations on Complex Binary Numbers	p. 21
References	p. 22
Arithmetic Circuits Designs	p. 23
Adder Circuit for Complex Binary Numbers	p. 23
Minimum-Delay Adder	p. 23
Ripple-Carry Adder	p. 34
State-Machine Adder	p. 37
Implementations and Performance Evaluations	p. 41
Subtractor Circuit for Complex Binary Numbers	p. 44
Minimum-Delay Subtractor	p. 44
Implementations	p. 54
Multiplier Circuit for Complex Binary Numbers	p. 55
Minimum-Delay Multiplier	p. 55
Implementations	p. 65
Divider Circuit for Complex Binary Numbers	p. 66
Minimum-Delay Divider	p. 66
References	p. 76
Complex Binary Associative Dataflow Processor Design	p. 77
Review of Complex Binary Number System	p. 77
What is Associative Dataflow Concept?	p. 78
Complex Binary Associative Dataflow Processor	p. 80
Australian Innovation Patent No. 2010100706	p. 81
References	p. 81
Conclusion and Further Research	p. 83
Table of Contents provided by Ingram. All Rights Reserved.

Springerbriefs in Electrical and Computer Engineering

Algorithms and Circuits

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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