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Chapter 1 Number Systems 1

1.1 Decimal Number System 1

1.2 Binary Number System 1

1.3 Octal Number System 2

1.4 Hexadecimal Number System 2

1.5 Decimal to Binary,Octal,and Hexadecimal Conversion 2

1.6 Binary,Octal,and Hexadecimal Conversion 4

Problems 5

Chapter 2 Codes 6

2.1 Binary-Coded-Decimal Code 6

2.2 The Gray Code 7

2.3 ASCII Code 8

Problems 9

Chapter 3 Boolean Algebra 11

3.1 Boolean Operation 11

3.2 Boolean Theorems 12

3.3 Boolean Rule 14

3.4 Simplification Using Boolean Theorems 14

3.5 SOP and POS Expressions 15

3.6 Boolean Expression Conversion 17

Problems 18

Chapter 4 The Karnaugh Map 20

4.1 Karnaugh Map Format 20

4.2 Filling Karnaugh Map 21

4.3 Looping Groups 23

4.4 Simplification Process 30

4.5 Simplification on Don't Care Conditions 35

Problems 38

Chapter 5 Logic Gates 40

5.1 AND,OR,NOT Gates 40

5.2 NAND and NOR Gates 41

5.3 Exclusive-OR and Exclusive-NOR Gates 41

5.4 List of Gates 42

Problems 44

Chapter 6 Logic Description Method 45

6.1 Logic Description and Conversion 45

6.2 Uniqueness of Logic Description 48

Problems 48

Chapter 7 Combinational Logic Circuit 50

7.1 Circuit Analysis 50

7.2 Circuit Design 53

Problems 64

Chapter 8 ICs of Combinational Logic Circuits 66

8.1 Magnitude Comparator 66

8.2 Data Selector and Data Distributor 67

8.3 Adder 70

8.4 Encoder and Decoder 71

Problems 75

Chapter 9 Flip-flops and Sequential Logic Circuits 77

9.1 Flip-flops 77

9.2 Sequential Logic Circuit Analysis 80

9.3 Sequential Logic Circuit Design 86

Problems 90

References 93