Digital systems design. Volume I, Numbering systems and logical operations / Larry Massengale.

Format:

Book

Author/Creator:

Massengale, Larry, author.

Series:

Environmental engineering collection.

Engineering technology collection

Language:

English

Subjects (All):

System design.

Physical Description:

1 online resource (xii, 156 pages) : illustrations.

Edition:

1st ed.

Place of Publication:

New York, New York : Momentum Press, 2019.

Summary:

Working as an engineer with advanced weapon systems for more than 25 years, it was crucial to understand the fundamentals of numbering systems, logic gate design, and the logical math known as Boolean Algebra. Whether as a technician or engineer, these fundamentals are the basics of engineering and are essential in interpreting logic gate functionality. The intent of this book is to provide much more information than most commercial engineering references currently offer. In Chapter 1, numbering systems such as binary, octal, hexadecimal, gray code, binary-coded decimal, and other systems are discussed. Chapter 2 discusses constants and variables, implementing the basic design of truth tables, basic gate operators, and several other logic gate designs. Chapter 3 provides a broad array of Boolean Algebra symbology and logic gate operations, discussing topics such as properties, theorems, implementing and interpreting truth tables from Boolean Algebra expressions, finding minterms and maxterms from symbology expressions, and more. The chapter review and chapter answer sections provide an extensive number of questions with comprehensive insight to showing how to attain the answers. This book will be an extremely valuable asset for technical and engineering students studying digital system design.

Contents:

Cover

DIGITAL SYSTEMSDESIGN, VOLUME I: NUMBERING SYSTEMS AND LOGICAL OPERATIONS

Contents

List of Figures

List of Tables

Acknowledgments

CHAPTER 1: Numbering Systems and Codes

1.1. INTRODUCTION

1.2. DECIMAL NUMBERING SYSTEM

1.3. BINARY NUMBERING SYSTEM

1.3.1. BINARY TO DECIMAL CONVERSION

1.3.2. DECIMAL TO BINARY CONVERSION

1.4. OCTAL NUMBERING SYSTEM

1.4.1. OCTAL TO DECIMAL CONVERSION

1.4.2. DECIMAL TO OCTAL CONVERSION

1.4.3. OCTAL TO BINARY CONVERSION

1.4.4. BINARY TO OCTAL CONVERSION

1.5. HEXADECIMAL NUMBERING SYSTEM

1.5.1. SUM OF WEIGHTS

1.5.2. RADIX MULTIPLICATION

1.5.3. DECIMAL TO HEXADECIMAL CONVERSION

1.5.4. HEXADECIMAL TO BINARY CONVERSION

1.5.5. BINARY TO HEXADECIMAL CONVERSION

1.5.6. OCTAL TO HEXADECIMAL CONVERSION

1.6. BINARY CODED DECIMAL

1.6.1. DECIMAL TO BCD CONVERSION

1.6.2. BCD TO DECIMAL CONVERSION

1.7. GRAY CODE

1.7.1. GRAY CODE TO BINARY CONVERSION

1.7.2. BINARY TO GRAY CODE CONVERSION

1.8. SPECIAL CODES

1.8.1. EXCESS-3 CODE

1.8.2. AMERICAN STANDARD CODE FOR INFORMATION INTERCHANGE

1.9. ADDITION OF BINARY, OCTAL, AND HEXADECIMAL NUMBERS

1.9.1. BINARY ADDITION

1.9.2. OCTAL ADDITION

1.9.3. HEXADECIMAL ADDITION

1.10. SUBTRACTION OF BINARY, OCTAL, AND HEXADECIMAL NUMBERS

1.10.1. BINARY SUBTRACTION

1.10.2. OCTAL SUBTRACTION

1.10.3. HEXADECIMAL SUBTRACTION

1.11. CHAPTER 1 REVIEW-QUESTIONS

1.12. CHAPTER 1 REVIEW-ANSWERS

CHAPTER 2: LOGIC Gates DESIGN

2.1. INTRODUCTION

2.2. CONSTANTS AND VARIABLES

2.3. TRUTH TABLES USED IN BOOLEAN ALGEBRA

2.4. BASIC LOGIC GATE OPERATORS

2.4.1. OR GATE OPERATOR

2.4.2. AND GATE OPERATOR

2.4.3. NOT GATE OPERATOR

2.5. OR, AND, AND NOT COMBINATION CIRCUITS

2.6. NOR GATE CIRCUITS

2.7. NAND GATE CIRCUITS

2.8. CHAPTER 2 REVIEW-QUESTIONS.

2.9. CHAPTER 2 REVIEW-ANSWERS

CHAPTER 3: BOOLEAN ALGEBRA

3.1. INTRODUCTION

3.2. BOOLEAN SYMBOLS

3.3. BASIC LOGIC OPERATIONS

3.3.1. AND LOGIC

3.3.2. OR LOGIC

3.3.3. NOT LOGIC

3.3.4. NOR LOGIC

3.3.5. NAND LOGIC

3.4 PROPERTIES OF REAL NUMBERS AND BOOLEAN ALGEBRA

3.4.1. PROPERTIES OF REAL NUMBERS

3.4.1.1. Associative Property of Addition

3.4.1.2. Associative Property of Multiplication

3.4.1.3. Commutative Properties of Addition and Multiplication

3.4.1.4. Distributive Property of Multiplication over Addition

3.4.2. PROPERTIES OF BOOLEAN ALGEBRA

3.4.2.1. Inhibit Property

3.4.2.2. Enable Property

3.4.2.3. Redundant Property

3.4.2.4. Complement Property

3.4.2.5. Double Negation Property

3.5. DEMORGAN'S THEOREMS

3.6. IMPLEMENTING THE CIRCUIT AND DEVELOPING THE TRUTH TABLE

3.7. INTERPRETING TRUTH TABLES

3.7.1. GIVEN: TWO-INPUT TRUTH TABLE

3.7.2. GIVEN: THREE-INPUT TRUTH TABLE

3.7.3. GIVEN: THREE-INPUT TRUTH TABLE

3.7.4. SUM OF PRODUCTS CONFIGURATION

3.7.5. PRODUCT OF SUMS CONFIGURATION

3.7.6. SUM OF PRODUCTS AND PRODUCT OF SUMS EQUALITY

3.8. MINTERMS AND MAXTERMS

3.9. CHAPTER 3 REVIEW-QUESTIONS

3.10. CHAPTER 3 REVIEW-ANSWERS

Bibliography

About the Author

Index

Ad Page

Back Cover.

Notes:

Description based on print version record.

ISBN:

9781949449129

1949449122

OCLC:

1083457871