Digital Logic Design

2nd Edition - January 1, 1987
Author: B. Holdsworth
Language: English
eBook ISBN:
9 7 8 - 1 - 4 8 3 1 - 4 2 2 2 - 7

Digital Logic Design, Second Edition provides a basic understanding of digital logic design with emphasis on the two alternative methods of design available to the digital… Read more

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Digital Logic Design, Second Edition provides a basic understanding of digital logic design with emphasis on the two alternative methods of design available to the digital engineer. This book describes the digital design techniques, which have become increasingly important. Organized into 14 chapters, this edition begins with an overview of the essential laws of Boolean algebra, K-map plotting techniques, as well as the simplification of Boolean functions. This text then presents the properties and develops the characteristic equations of a number of various types of flip-flop. Other chapters consider the design of synchronous and asynchronous counters using either discrete flip-flops or shift registers. This book discusses as well the design and implementation of event driven logic circuits using the NAND sequential equation. The final chapter deals with simple coding techniques and the principles of error detection and correction. This book is a valuable resource for undergraduate students, digital engineers, and scientists.

Preface to the Second EditionPreface to the First Edition1 Boolean Algebra 1.1 Introduction 1.2 The Logic of a Switch 1.3 The and Function 1.4 The or Function 1.5 The Inversion Function 1.6 Implementation of Boolean Equations Using Switches or Electronic Gates 1.7 The Idempotency Theorem 1.8 The Theorems of Union and Intersection 1.9 The Redundancy or Absorption Theorem 1.10 The Determination of the Complementary Function 1.11 Theorems on Commutation, Association and Distribution 1.12 The Consensus Theorem Problems2 Karnaugh Maps and Function Simplification 2.1 Introduction 2.2 Product and Sum Terms 2.3 Canonical Forms 2.4 Boolean Functions of Two Variables 2.5 The Karnaugh Map 2.6 Plotting Boolean Functions On a Karnaugh Map 2.7 Simplification of Boolean Functions 2.8 The Inverse Function 2.9 'Don't-Care' Terms 2.10 The Plotting and Simplification of P-of-S Expressions 2.11 The Quine-McCluskey Tabular Simplification Method 2.12 Properties of Prime Implicant Tables 2.13 Cyclic Prime Implicant Tables 2.14 Semi-Cyclic Prime Implicant Tables 2.15 Simplification of Functions Containing 'Can't Happen' Terms 2.16 The Decimal Approach to Quine-McCluskey Problems3 NAND and NOR Logic 3.1 Introduction 3.2 The NAND Function 3.3 The Implementation of AND and OR Functions Using NAND Gates 3.4 The Implementation of S-Of-P Expressions Using NAND Gates 3.5 The NOR Function 3.6 The Implementation of OR and AND Functions Using NOR Gates 3.7 The Implementation of P-of-S Expressions Using NOR Gates 3.8 The Implementation of S-of-P Expressions Using NOR Gates 3.9 Gate Expansion 3.10 Miscellaneous Gate 3.11 The Tri-State Gate 3.12 The Exclusive-OR Gate Problems4 Combinational Logic Design 4.1 Introduction 4.2 The Half-Adder 4.3 The Full Adder 4.4 Full Subtractor 4.5 Comparators 4.6 Parity Generation and Checking 4.7 Code Conversion 4.8 Binary to Gray Code Converter 4.9 Interrupt Sorters Problems5 Single-Bit Memory Elements 5.1 Introduction 5.2 The T flip-Flop 5.3 The SR Flip-Flop 5.4 The JK Flip-Flop 5.5 The D Flip-Flop 5.6 The Edge-Triggered Flip-Flop 5.7 The Latching Action of a Flip-Flop Problems6 Counters 6.1 Introduction 6.2 Scale-of-Two Up-Counter 6.3 Scale-of-Four Up-Counter 6.4 Scale-of-Eight Up-Counter 6.5 Scale-of-2N Up-Counter 6.6 Series and Parallel Connection of Counters 6.7 Synchronous Down-Counters 6.8 Scale-of-Five Up-Counter 6.9 Decade Binary Up-Counter 6.10 Decade Binary Down-Counter 6.11 Decade Gray Code 'Up' Counter 6.12 Scale-of-16 Up/Down Counter 6.13 Asynchronous Binary Counters 6.14 Scale-of-Ten Asynchronous Up-Counter 6.15 Asynchronous Resettable Counters 6.16 Integrated-Circuit Counters 6.17 Cascading of IC Counter Chips Problems7 Shift Register Counters and Generators 7.1 Introduction 7.2 The Four-Bit Shift Register with Parallel Loading 7.3 The Four-Bit Shift-Left, Shift-Right Register 7.4 The Use of Shift Registers as Counters 7.5 The Universal State Diagram for Shift Registers 7.6 The Design of a Decade Counter 7.7 Shift Register Sequence Generators 7.8 The Ring Counter 7.9 The Twisted Ring or Johnson Counter 7.10 Shift Registers with Exclusive-OR Feedback Problems8 Clock-Driven Sequential Circuits 8.1 Introduction 8.2 Analysis of a Clocked Sequential Circuit 8.3 The Design Procedure for Clocked Sequential Circuits 8.4 The Design of a Sequence Generator 8.5 Moore and Mealy State Machines 8.6 Pulsed Synchronous Circuits 8.7 State Reduction 8.8 State Assignment Problems9 Event-Driven Circuits 9.1 Introduction 9.2 The Museum Problem 9.3 Races and Cycles 9.4 Race-Free Assignment for a Three-State Machine 9.5 The Pump Problem 9.6 Race-Free Assignment for a Four-State Machine 9.7 A Sequence Detector Problems10 Digital Design with MSI 10.1 Introduction 10.2 Data Selector or Multiplexer 10.3 The Multiplexer as a Logic Function Generator 10.4 Decoders and Demultiplexers 10.5 Decoder Applications 10.6 Read-Only Memories (ROMs) 10.7 Addressing Techniques for ROMs 10.8 Design of Sequential Circuits Using ROMs 10.9 Programmable Logic Arrays (PLAs) 10.10 Design of Sequential Circuits Using PLAs Problems11 Arithmetic Circuits 11.1 Introduction 11.2 The Four-Bit Parallel Adder 11.3 The Carry Look-Ahead Adder 11.4 Complement Arithmetic 11.5 The 1'S Complement 11.6 The 2'S Complement 11.7 Representation of Binary Numbers in a Digital Mach 11.8 Addition and Subtraction Using 2'S Complement Arithmetic 11.9 Addition and Subtraction Using L's Complement Arithmetic 11.10 Overflow 11.11 Serial Addition and Subtraction 11.12 Decimal Arithmetic with MSI Adders 11.13 The Use of Complement Arithmetic for Decimal Operations 11.14 Adder/Subtractor for Decimal Arithmetic 11.15 Arithmetic/Logic Unit 11.16 Deisgn of an Arithmetic/Logic Unit 11.17 Combinational Binary Multipliers 11.18 ROM Implemented Binary Multipliers 11.19 The Shift and Add Multiplier 11.20 Binary Division Problems12 Hazards 12.1 Introduction 12.2 Gate Delays 12.3 The Generation of Spikes 12.4 The Production of Static Hazards in Combinational Networks 12.5 The Elimination of Static Hazards 12.6 Design of Hazard-Free Combinational Networks 12.7 Detection of Hazards in an Existing Network 12.8 Hazard-Free Asynchronous Circuit Design 12.9 Dynamic Hazards 12.10 Essential Hazards Problems13 Fault Diagnosis in Combinational Circuits 13.1 Introduction 13.2 Fault Detection and Location 13.3 A Fault Test for a 2-Input and Gate 13.4 The Fault Detection Table 13.5 The Fault Location Table 13.6 Adaptive Testing 13.7 Path Sensitisation 13.8 Path Sensitisation Applied to Combinational Networks 13.9 Path Sensitisation in Networks with Fanout 13.10 Two-Level Circuit Fault Detection in AND/OR Circuits 13.11 Two-Level Circuit Fault Detection in OR/AND Circuits 13.12 Tabulation Method of Fault Diagnosis for Two-Level Circuits 13.13 Fault Detection in Multi-Level Circuits 13.14 Boolean Difference 13.15 The Chain Rule Problems14 Coding Systems for Error Control 14.1 Introduction 14.2 Definition of a Code 14.3 Information Content of the Decimal and Hexadecimal Number Systems 14.4 Coding Theory Terminology 14.5 The Conditions for Error Detection 14.6 The Boolean Circle and the Correction Domain 14.7 The Transmission Equation 14.8 The Undetected Error Rate 14.9 Linear Block Codes 14.10 Backward Error Correction 14.11 Matrix Representation of Linear Block Codes 14.12 Decoding the Received Word 14.13 Forward Error Correction ProblemsAnswers to ProblemsBibliographyIndex