CHAPTER 1 Number Systems

TYPES OF NUMBER SYSTEMS

Unit and Number - 14185_15

Positional Notation and Zero - Continued

Most Significant Digit and Least Significant Digit (MSD and LSD)

Most Significant Digit and Least Significant Digit (MSD and LSD) - Continued

Carry and Borrow Principles

Carry and Borrow Principles - Continued

THE BINARY NUMBER SYSTEM

Positional Notation - Continued

MSD and LSD - 14185_23

Addition of Binary Numbers

Addition of Binary Numbers - Continued - 14185_25

Addition of Binary Numbers - Continued - 14185_26

Addition of Binary Numbers - Continued - 14185_27

Addition of Binary Numbers - Continued - 14185_28

Subtraction of Binary Numbers

Subtraction of Binary Numbers - Continued

Complementary Subtraction

Complementary Subtraction - Continued - 14185_32

Complementary Subtraction - Continued - 14185_33

Complementary Subtraction - Continued - 14185_34

OCTAL NUMBER SYSTEM

Unit and Number - 14185_36

MSD and LSD - 14185_37

Addition of Octal Numbers - Continued - 14185_38

Addition of Octal Numbers - Continued - 14185_39

Subtraction of Octal Numbers

Subtraction of Octal Numbers - Continued

HEXADECIMAL (HEX) NUMBER SYSTEM

Unit and Number - 14185_43

Base (Radix)

MSD and LSD - 14185_45

Addition of Hex Numbers - Continued - 14185_46

Addition of Hex Numbers - Continued - 14185_47

Subtraction of Hex Numbers

Subtraction of Hex Numbers - Continued

CONVERSION OF BASES

DECIMAL CONVERSION

Decimal to Binary - Continued - 14185_52

Decimal to Binary - Continued - 14185_53

Decimal to Binary - Continued - 14185_54

Decimal to Octal

Decimal to Octal - Continued - 14185_56

Decimal to Octal - Continued - 14185_57

Decimal to Hex

Decimal to Hex - Continued

BINARY CONVERSION

Binary to Hex

Binary to Hex - Continued

OCTAL CONVERSION

Octal to Hex

Hex to Binary

Binary to Decimal

Octal to Decimal

Octal to Decimal - Continued

Hex to Decimal

Hex to Decimal - Continued

BINARY-CODED DECIMAL

BCD Addition

BCD Addition - Continued

SUMMARY - 14185_74

SUMMARY - Continued - 14185_75

SUMMARY - Continued - 14185_76

ANSWERS TO QUESTIONS Q1. THROUGH Q110. - 14185_77

ANSWERS TO QUESTIONS Q1. THROUGH Q110. - 14185_78

ANSWERS TO QUESTIONS Q1. THROUGH Q110. - 14185_79

ANSWERS TO QUESTIONS Q1. THROUGH Q110. - 14185_80

ANSWERS TO QUESTIONS Q1. THROUGH Q110. - 14185_81

FUNDAMENTAL LOGIC CIRCUITS FUNDAMENTAL LOGIC CIRCUITS

GENERAL LOGIC

POSITIVE AND NEGATIVE LOGIC

LOGIC INPUTS AND OUTPUTS

LOGIC INPUTS AND OUTPUTS - Continued

THE AND GATE

TRUTH TABLE - 14185_89

TRUTH TABLE - Continued - 14185_90

TRUTH TABLE - Continued - 14185_91

THE OR GATE

TRUTH TABLE - 14185_93

THE INVERTER

THE INVERTER - Continued

THE NAND GATE

NAND GATE OPERATION

THE NOR GATE

VARIATIONS OF FUNDAMENTAL GATES

AND/NAND GATE VARIATIONS

OR/NOR GATE VARIATIONS

OR/NOR GATE VARIATIONS - Continued - 14185_102

OR/NOR GATE VARIATIONS - Continued - 14185_103

OR/NOR GATE VARIATIONS - Continued - 14185_104

LOGIC GATES IN COMBINATION

LOGIC GATES IN COMBINATION - Continued - 14185_106

LOGIC GATES IN COMBINATION - Continued - 14185_107

LOGIC GATES IN COMBINATION - Continued - 14185_108

LOGIC GATES IN COMBINATION - Continued - 14185_109

BOOLEAN ALGEBRA

Purpose - Continued

LAWS AND THEOREMS

LAWS AND THEOREMS - Continued

SUMMARY - 14185_114

SUMMARY - Continued - 14185_115

ANSWERS TO QUESTIONS Q1. THROUGH Q34. - 14185_116

ANSWERS TO QUESTIONS Q1. THROUGH Q34.

ANSWERS TO QUESTIONS Q1. THROUGH Q34. - 14185_118

CHAPTER 3 Special Logic Circuits

INTRODUCTION - Continued - 14185_120

THE EXCLUSIVE OR GATE

THE EXCLUSIVE NOR GATE

ADDERS

HALF ADDER

FULL ADDER

PARALLEL ADDERS

PARALLEL ADDERS - Continued

SUBTRACTION

FLIP-FLOPS

INTRODUCTION - Continued - 14185_130

Figure 3-13. R-S flip-flop with inverted inputs timing diagram.

TOGGLE FLIP-FLOP

D FLIP-FLOP

D FLIP-FLOP - Continued

J-K FLIP-FLOP

J-K FLIP-FLOP - Continued - 14185_136

J-K FLIP-FLOP - Continued - 14185_137

J-K FLIP-FLOP - Continued - 14185_138

CLOCKS AND COUNTERS

CLOCKS - Continued

COUNTERS

Ripple Counters - Continued

Synchronous Counter

Decade Counter

Ring Counter

Figure 3-26. Ring counter: A. Logic diagram; B. Timing diagram.

Down Counters

Down Counters - Continued

REGISTERS

SHIFT REGISTERS

Serial and Parallel Transfers and Conversion - Continued

Scaling

Shift Register Operations

Serial-to-Parallel Conversion

Scaling Operation

LOGIC FAMILIES

RTL (RESISTOR-TRANSISTOR LOGIC)

DTL (DIODE TRANSISTOR LOGIC)

SUMMARY - 14185_159

SUMMARY - Continued - 14185_160

SUMMARY - Continued - 14185_161

ANSWERS TO QUESTIONS Q1. THROUGH Q64. - 14185_162

ANSWERS TO QUESTIONS Q1. THROUGH Q64. - 14185_163

ANSWERS TO QUESTIONS Q1. THROUGH Q64. - 14185_164

Appendix I Glossary - 14185_165

Appendix I - Continued - 14185_166

Appendix I - Continued - 14185_167

Appendix I - Continued - 14185_168

Appendix II Logic Symbols

Appendix II - Continued

Index - 14185_171

Index - Continued - 14185_172

Index - Continued - 14185_173

Assignment Questions - 14185_175

Assignment Questions - 14185_177

Assignment Questions - 14185_178

Assignment Questions - 14185_179

Assignment Questions - 14185_180

Assignment Questions - 14185_181

Assignment Questions - 14185_182

Assignment Questions - 14185_183

Assignment Questions - 14185_184

Assignment Questions - 14185_185

Assignment Questions - 14185_186

Assignment Questions - 14185_187

Assignment Questions - 14185_188

Assignment Questions - 14185_189

Assignment Questions - 14185_190

Assignment Questions - 14185_191

Assignment Questions - 14185_192

Assignment Questions - 14185_193

Assignment Questions - 14185_194

Assignment Questions - 14185_195

Assignment Questions - 14185_196

Assignment Questions - 14185_197

Assignment Questions - 14185_198

Assignment Questions - 14185_199

Assignment Questions - 14185_200

Assignment Questions - 14185_201

Assignment Questions - 14185_202

Assignment Questions - 14185_203

Assignment Questions - 14185_204

Assignment Questions - 14185_205

Assignment Questions - 14185_206

Assignment Questions - 14185_207

Assignment Questions - 14185_208

Assignment Questions - 14185_209

Assignment Questions - 14185_210

Assignment Questions - 14185_211

Assignment Questions - 14185_212

Assignment Questions - 14185_213

Assignment Questions - 14185_214

Assignment Questions - 14185_215

Assignment Questions - 14185_216

Assignment Questions - 14185_217

Assignment Questions - 14185_218

TYPES OF NUMBER SYSTEMS

Unit and Number - 14185_15

Positional Notation and Zero - Continued

Most Significant Digit and Least Significant Digit (MSD and LSD)

Most Significant Digit and Least Significant Digit (MSD and LSD) - Continued

Carry and Borrow Principles

Carry and Borrow Principles - Continued

THE BINARY NUMBER SYSTEM

Positional Notation - Continued

MSD and LSD - 14185_23

Addition of Binary Numbers

Addition of Binary Numbers - Continued - 14185_25

Addition of Binary Numbers - Continued - 14185_26

Addition of Binary Numbers - Continued - 14185_27

Addition of Binary Numbers - Continued - 14185_28

Subtraction of Binary Numbers

Subtraction of Binary Numbers - Continued

Complementary Subtraction

Complementary Subtraction - Continued - 14185_32

Complementary Subtraction - Continued - 14185_33

Complementary Subtraction - Continued - 14185_34

OCTAL NUMBER SYSTEM

Unit and Number - 14185_36

MSD and LSD - 14185_37

Addition of Octal Numbers - Continued - 14185_38

Addition of Octal Numbers - Continued - 14185_39

Subtraction of Octal Numbers

Subtraction of Octal Numbers - Continued

HEXADECIMAL (HEX) NUMBER SYSTEM

Unit and Number - 14185_43

Base (Radix)

MSD and LSD - 14185_45

Addition of Hex Numbers - Continued - 14185_46

Addition of Hex Numbers - Continued - 14185_47

Subtraction of Hex Numbers

Subtraction of Hex Numbers - Continued

CONVERSION OF BASES

DECIMAL CONVERSION

Decimal to Binary - Continued - 14185_52

Decimal to Binary - Continued - 14185_53

Decimal to Binary - Continued - 14185_54

Decimal to Octal

Decimal to Octal - Continued - 14185_56

Decimal to Octal - Continued - 14185_57

Decimal to Hex

Decimal to Hex - Continued

BINARY CONVERSION

Binary to Hex

Binary to Hex - Continued

OCTAL CONVERSION

Octal to Hex

Hex to Binary

Binary to Decimal

Octal to Decimal

Octal to Decimal - Continued

Hex to Decimal

Hex to Decimal - Continued

BINARY-CODED DECIMAL

BCD Addition

BCD Addition - Continued

SUMMARY - 14185_74

SUMMARY - Continued - 14185_75

SUMMARY - Continued - 14185_76

ANSWERS TO QUESTIONS Q1. THROUGH Q110. - 14185_77

ANSWERS TO QUESTIONS Q1. THROUGH Q110. - 14185_78

ANSWERS TO QUESTIONS Q1. THROUGH Q110. - 14185_79

ANSWERS TO QUESTIONS Q1. THROUGH Q110. - 14185_80

ANSWERS TO QUESTIONS Q1. THROUGH Q110. - 14185_81

FUNDAMENTAL LOGIC CIRCUITS FUNDAMENTAL LOGIC CIRCUITS

GENERAL LOGIC

POSITIVE AND NEGATIVE LOGIC

LOGIC INPUTS AND OUTPUTS

LOGIC INPUTS AND OUTPUTS - Continued

THE AND GATE

TRUTH TABLE - 14185_89

TRUTH TABLE - Continued - 14185_90

TRUTH TABLE - Continued - 14185_91

THE OR GATE

TRUTH TABLE - 14185_93

THE INVERTER

THE INVERTER - Continued

THE NAND GATE

NAND GATE OPERATION

THE NOR GATE

VARIATIONS OF FUNDAMENTAL GATES

AND/NAND GATE VARIATIONS

OR/NOR GATE VARIATIONS

OR/NOR GATE VARIATIONS - Continued - 14185_102

OR/NOR GATE VARIATIONS - Continued - 14185_103

OR/NOR GATE VARIATIONS - Continued - 14185_104

LOGIC GATES IN COMBINATION

LOGIC GATES IN COMBINATION - Continued - 14185_106

LOGIC GATES IN COMBINATION - Continued - 14185_107

LOGIC GATES IN COMBINATION - Continued - 14185_108

LOGIC GATES IN COMBINATION - Continued - 14185_109

BOOLEAN ALGEBRA

Purpose - Continued

LAWS AND THEOREMS

LAWS AND THEOREMS - Continued

SUMMARY - 14185_114

SUMMARY - Continued - 14185_115

ANSWERS TO QUESTIONS Q1. THROUGH Q34. - 14185_116

ANSWERS TO QUESTIONS Q1. THROUGH Q34.

ANSWERS TO QUESTIONS Q1. THROUGH Q34. - 14185_118

CHAPTER 3 Special Logic Circuits

INTRODUCTION - Continued - 14185_120

THE EXCLUSIVE OR GATE

THE EXCLUSIVE NOR GATE

ADDERS

HALF ADDER

FULL ADDER

PARALLEL ADDERS

PARALLEL ADDERS - Continued

SUBTRACTION

FLIP-FLOPS

INTRODUCTION - Continued - 14185_130

Figure 3-13. R-S flip-flop with inverted inputs timing diagram.

TOGGLE FLIP-FLOP

D FLIP-FLOP

D FLIP-FLOP - Continued

J-K FLIP-FLOP

J-K FLIP-FLOP - Continued - 14185_136

J-K FLIP-FLOP - Continued - 14185_137

J-K FLIP-FLOP - Continued - 14185_138

CLOCKS AND COUNTERS

CLOCKS - Continued

COUNTERS

Ripple Counters - Continued

Synchronous Counter

Decade Counter

Ring Counter

Figure 3-26. Ring counter: A. Logic diagram; B. Timing diagram.

Down Counters

Down Counters - Continued

REGISTERS

SHIFT REGISTERS

Serial and Parallel Transfers and Conversion - Continued

Scaling

Shift Register Operations

Serial-to-Parallel Conversion

Scaling Operation

LOGIC FAMILIES

RTL (RESISTOR-TRANSISTOR LOGIC)

DTL (DIODE TRANSISTOR LOGIC)

SUMMARY - 14185_159

SUMMARY - Continued - 14185_160

SUMMARY - Continued - 14185_161

ANSWERS TO QUESTIONS Q1. THROUGH Q64. - 14185_162

ANSWERS TO QUESTIONS Q1. THROUGH Q64. - 14185_163

ANSWERS TO QUESTIONS Q1. THROUGH Q64. - 14185_164

Appendix I Glossary - 14185_165

Appendix I - Continued - 14185_166

Appendix I - Continued - 14185_167

Appendix I - Continued - 14185_168

Appendix II Logic Symbols

Appendix II - Continued

Index - 14185_171

Index - Continued - 14185_172

Index - Continued - 14185_173

Assignment Questions - 14185_175

Assignment Questions - 14185_177

Assignment Questions - 14185_178

Assignment Questions - 14185_179

Assignment Questions - 14185_180

Assignment Questions - 14185_181

Assignment Questions - 14185_182

Assignment Questions - 14185_183

Assignment Questions - 14185_184

Assignment Questions - 14185_185

Assignment Questions - 14185_186

Assignment Questions - 14185_187

Assignment Questions - 14185_188

Assignment Questions - 14185_189

Assignment Questions - 14185_190

Assignment Questions - 14185_191

Assignment Questions - 14185_192

Assignment Questions - 14185_193

Assignment Questions - 14185_194

Assignment Questions - 14185_195

Assignment Questions - 14185_196

Assignment Questions - 14185_197

Assignment Questions - 14185_198

Assignment Questions - 14185_199

Assignment Questions - 14185_200

Assignment Questions - 14185_201

Assignment Questions - 14185_202

Assignment Questions - 14185_203

Assignment Questions - 14185_204

Assignment Questions - 14185_205

Assignment Questions - 14185_206

Assignment Questions - 14185_207

Assignment Questions - 14185_208

Assignment Questions - 14185_209

Assignment Questions - 14185_210

Assignment Questions - 14185_211

Assignment Questions - 14185_212

Assignment Questions - 14185_213

Assignment Questions - 14185_214

Assignment Questions - 14185_215

Assignment Questions - 14185_216

Assignment Questions - 14185_217

Assignment Questions - 14185_218

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