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Arithmetic in digital systems
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  • Arithmetic in digital systems
ID: 32236
Bolesław Pochopień
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Author: Bolesław Pochopień

ISBN: 83-87674-78-8
Format: B5, 268 pages
Publisher: EXIT

About the book
The book is both an advanced academic textbook in the field of arithmetic of digital systems as well as a scientific monograph. The author presents theoretical foundations and applications in digital systems of concepts, methods and algorithms used in arithmetic. The subject matter of the book includes important issues related to positional and residual number systems, numeric word formats, fixed-point and floating-point arithmetic, accuracy of arithmetic operations and implementation of arithmetic systems. All issues discussed are richly illustrated with carefully selected examples, remarks, conclusions and extensive explanatory comments. The book will be useful to a wide range of readers interested in IT, in particular designers and users of digital systems, engineers, PhD and postgraduate students, and students of such majors as: information technology, electronics and telecommunications, automation and robotics.

Table of Contents

1. Form and processing of information

2. The world of numbers

3. Positional number systems with a positive basis

3.1. Number representation
3.2. Rules for the implementation of arithmetic operations
3.3. The economics of choosing the basics
3.4. Number conversion
3.5. Completing the numbers
3.6. Numbers with a sign
3.7. The specificity of the balanced three-way system

4. Positional number systems with a negative basis

5. Residual number systems

6. The format of the numeric word in digital systems

6.1. Numeric word
6.2. Fixed-point format
6.3. Floating-point format
6.4. Format selection
6.5. Standardization of floating point formats

7. Accuracy in the implementation of arithmetic operations

7.1. Errors and their types
7.2. Methods of rounding the numbers
7.3. The specificity of the arithmetic of digital systems
7.4. Estimate of arithmetic errors

8. Fixed-point arithmetic

8.1. Addition and subtraction
8.2. Multiplication
8.3. Division
8.4. Operations on numbers with multiple precision
8.5. Conversions in decimal-two and two-decimal

9. Floating point arithmetic

9.1. Introduction
9.2. Addition and subtraction
9.3. Multiplication
9.4. Division
9.5. denormalisation
9.6. Conversions of floating point numbers

10. Arithmetic digital circuits

10.1. adders
10.2. Comparators
10.3. Code and number translators
10.4. Addition and subtraction systems
10.5. Multiplication and division systems
10.6. The arithmetic and logic unit
10.7. Arithmetic coprocessors

11. ASCII Conversions

11.1. Introduction
11.2. Conversion of ASCII-D
11.3. Conversion of D-ASCII

Index

Polish-English dictionary of selected terms


About the author
Bolesław Pochopień: associate professor at the Institute of Computer Science of the Silesian University of Technology in Gliwice, doctor habilitated, engineer. In the years 1990-1996 he was the Vice-Rector for Teaching, and in the years 1992-2002 the Rector of the Silesian University of Technology. The main areas of his scientific and research activity include computer science and automation, in particular in the field of the theory and technique of implementing digital systems. He is the author or co-author of many scientific papers, monographs, books, textbooks, including: "Contemporary IT problems", "Modular microcomputer systems", "Digital systems", "Arithmetic processors", "Basics of digital technology", " Digital circuits "," Switching systems in industrial automation "," Automation of industrial processes ".
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