*298*
*71*
*170KB*

*English*
*Pages 223*
*Year 1997*

Table of contents :

Front Cover......Page 1

Basic Electronics Math......Page 4

Copyright Page......Page 5

Table of Contents......Page 6

1.2 Rounding Off Numbers......Page 14

1.4 Addition of Fractions......Page 15

1.6 Mixed Numbers......Page 16

1.8 Signs of Grouping......Page 17

Summary......Page 18

2.1 Introduction......Page 19

2.2 Extraction of Square Roots......Page 20

2.4 Powers and Roots......Page 21

2.5 Higher Powers and Roots of Numbers......Page 22

Summary......Page 23

3.2 Signs of Exponents......Page 24

3.3 Addition and Subtraction of Powers of Ten......Page 25

3.5 Dividing by Powers of Ten......Page 26

3.6 Multiplication and Division Combined......Page 27

3.9 Taking the Root of a Power of Ten......Page 28

Summary......Page 29

4.2 Units for Electronics......Page 31

4.3 Ranges of Electrical Units......Page 32

4.6 The SI Metric System of Measurement......Page 33

4.7 A Summary of the Most Commonly Used Metric Measurements......Page 34

4.8 Relationships Between the Metric and the English Systems......Page 35

4.10 Style and Usage of the International System of Units (SI)......Page 36

Summary......Page 38

5.2 Decimal Numbering System (Base 10)......Page 39

5.5 Decimal to Binary Conversion......Page 40

5.7 Converting Binary Numbers into Octal Numbers......Page 41

5.9 Addition of Binary Numbers......Page 42

5.12 Subtraction of Binary Numbers......Page 44

5.13 Two's Complement......Page 46

5.15 Subtracting Octal Numbers......Page 47

Summary......Page 48

6.2 Expressed and Implied Signs of Algebraic Operations......Page 49

6.3 Numerical and Literal Algebraic Expressions, Equations, and Formulas......Page 50

6.5 Similar Terms......Page 51

6.8 Substitution of Numerical Values and Evolution......Page 52

6.9 Algebraic Addition......Page 53

6.10 Algebraic Subtraction......Page 54

6.11 Addition of Polynomials......Page 55

6.12 Subtraction of Polynomials......Page 56

Summary......Page 57

7.2 Multiplication of Signed Numbers......Page 59

7.3 Multiplication of Signed Numbers with Exponents......Page 61

7.5 Multiplication of Polynomials by Monomials......Page 62

7.6 Multiplication of a Polynomial by Another Polynomial......Page 63

Summary......Page 65

8.2 Subtraction of Exponents......Page 66

8.3 Division of Monomials......Page 68

8.4 Division of a Polynomial by a Monomial......Page 70

8.5 Division of a Polynomial by Another Polynomial......Page 71

Summary......Page 73

9.2 Axioms for the Solution of Equations......Page 74

9.3 Rules for the Solution of Equations......Page 76

9.4 Mathematical Statements of Circuit Problems......Page 78

Summary......Page 80

10.2 Powers and Roots of Monomials......Page 81

10.3 Monomial Factors of Polynomials......Page 84

10.4 Calculation of the Square of a Binomial......Page 85

10.5 The Product of Two Binomials......Page 87

10.7 The Difference of Two Algebraic Numbers......Page 88

10.9 Factors of Trinomials......Page 89

Summary......Page 91

11.2 Highest Common Factors of Monomials and Polynomials......Page 92

11.3 Lowest Common Multiples of Monomials and Polynomials......Page 94

11.4 Numerators and Denominators of Algebraic Fractions......Page 95

11.5 Conversion of Mixed Expressions to Fractions and Vice-Versa......Page 97

11.6 Lowest Common Denominator of Algebraic Fractions......Page 98

11.7 Addition, Subtraction, Multiplication, and Division......Page 100

11.9 Properties of Proportions......Page 103

Summary......Page 105

12.1 Introduction......Page 106

12.2 Series-Parallel Resistive Networks......Page 110

Summary......Page 114

13.2 Thevenin's Theorem......Page 115

13.3 Voltage-Divider Rule and Thevenin's Theorem......Page 117

13.4 Norton's Theorem......Page 118

Summary......Page 120

14.1 Introduction......Page 121

14.3 Graphical Solutions of Equations......Page 122

14.4 Algebraic Solution of Simultaneous Equations......Page 124

14.6 Basic Determinants......Page 128

Summary......Page 131

15.2 Geometrical Representation of Imaginary Numbers......Page 132

15.3 Pure Imaginary Numbers......Page 133

15.4 Complex Numbers and Operations......Page 134

Summary......Page 137

16.2 Common Logarithms......Page 138

16.4 Multiplication and Division by Logarithms......Page 139

16.6 Applications of Common Logarithms......Page 140

16.7 Decibel Reference Levels......Page 141

16.8 Frequency Response and Decibel Gain......Page 142

16.9 Filter Concepts and the Bode Plot......Page 143

16.10 Band-Pass Filter Circuits......Page 144

Summary......Page 149

17.1 Introduction......Page 150

17.2 Natural Logarithms......Page 152

17.3 Inductance and Exponential Formulas......Page 153

Summary......Page 155

18.1 Angular Notation......Page 156

18.2 Trigonometric Functions......Page 158

18.3 Trigonometric Functions of 30°, 45°, and 60°......Page 159

18.4 General Angles......Page 160

Summary......Page 162

19.2 Periodic Functions......Page 163

19.3 Vector Notations......Page 165

19.4 Applications of Vectors......Page 166

Summary......Page 167

20.1 Introduction......Page 168

20.2 Voltage Relations in a Sine Wave......Page 169

20.3 Capacitors in A-C Circuits......Page 171

20.5 Capacitors Connected in Series......Page 172

20.6 Resistance and Capacitance Connected in Series......Page 173

20.8 Resistance and Inductance Connected in Series......Page 175

20.9 Admittance and Susceptance......Page 176

20.10 Analysis of Parallel A-C Circuits......Page 177

20.11 Resistance and Capacitance Connected in Parallel......Page 178

20.13 The j Operator Notation......Page 180

20.14 Analysis of Series-Parallel LCR Circuits......Page 182

20.15 Analysis of Series-Parallel Circuits......Page 184

20.16 Analysis of Series-Parallel LCR Circuits......Page 186

Summary......Page 189

21.2 Boolean Addition and Multiplication......Page 190

21.3 Logic Expressions and Symbology......Page 191

21.4 Rules and Laws of Boolean Algebra......Page 193

21.5 Theorems for Boolean Algebra......Page 194

21.6 Demorgan's Theorems......Page 196

21.8 Entering Boolean Equations in a KARNAUGH Map......Page 198

21.9 Simplification of Boolean Equations......Page 199

Summary......Page 202

Answers for Basic Electronics Math......Page 204

Index......Page 216

Front Cover......Page 1

Basic Electronics Math......Page 4

Copyright Page......Page 5

Table of Contents......Page 6

1.2 Rounding Off Numbers......Page 14

1.4 Addition of Fractions......Page 15

1.6 Mixed Numbers......Page 16

1.8 Signs of Grouping......Page 17

Summary......Page 18

2.1 Introduction......Page 19

2.2 Extraction of Square Roots......Page 20

2.4 Powers and Roots......Page 21

2.5 Higher Powers and Roots of Numbers......Page 22

Summary......Page 23

3.2 Signs of Exponents......Page 24

3.3 Addition and Subtraction of Powers of Ten......Page 25

3.5 Dividing by Powers of Ten......Page 26

3.6 Multiplication and Division Combined......Page 27

3.9 Taking the Root of a Power of Ten......Page 28

Summary......Page 29

4.2 Units for Electronics......Page 31

4.3 Ranges of Electrical Units......Page 32

4.6 The SI Metric System of Measurement......Page 33

4.7 A Summary of the Most Commonly Used Metric Measurements......Page 34

4.8 Relationships Between the Metric and the English Systems......Page 35

4.10 Style and Usage of the International System of Units (SI)......Page 36

Summary......Page 38

5.2 Decimal Numbering System (Base 10)......Page 39

5.5 Decimal to Binary Conversion......Page 40

5.7 Converting Binary Numbers into Octal Numbers......Page 41

5.9 Addition of Binary Numbers......Page 42

5.12 Subtraction of Binary Numbers......Page 44

5.13 Two's Complement......Page 46

5.15 Subtracting Octal Numbers......Page 47

Summary......Page 48

6.2 Expressed and Implied Signs of Algebraic Operations......Page 49

6.3 Numerical and Literal Algebraic Expressions, Equations, and Formulas......Page 50

6.5 Similar Terms......Page 51

6.8 Substitution of Numerical Values and Evolution......Page 52

6.9 Algebraic Addition......Page 53

6.10 Algebraic Subtraction......Page 54

6.11 Addition of Polynomials......Page 55

6.12 Subtraction of Polynomials......Page 56

Summary......Page 57

7.2 Multiplication of Signed Numbers......Page 59

7.3 Multiplication of Signed Numbers with Exponents......Page 61

7.5 Multiplication of Polynomials by Monomials......Page 62

7.6 Multiplication of a Polynomial by Another Polynomial......Page 63

Summary......Page 65

8.2 Subtraction of Exponents......Page 66

8.3 Division of Monomials......Page 68

8.4 Division of a Polynomial by a Monomial......Page 70

8.5 Division of a Polynomial by Another Polynomial......Page 71

Summary......Page 73

9.2 Axioms for the Solution of Equations......Page 74

9.3 Rules for the Solution of Equations......Page 76

9.4 Mathematical Statements of Circuit Problems......Page 78

Summary......Page 80

10.2 Powers and Roots of Monomials......Page 81

10.3 Monomial Factors of Polynomials......Page 84

10.4 Calculation of the Square of a Binomial......Page 85

10.5 The Product of Two Binomials......Page 87

10.7 The Difference of Two Algebraic Numbers......Page 88

10.9 Factors of Trinomials......Page 89

Summary......Page 91

11.2 Highest Common Factors of Monomials and Polynomials......Page 92

11.3 Lowest Common Multiples of Monomials and Polynomials......Page 94

11.4 Numerators and Denominators of Algebraic Fractions......Page 95

11.5 Conversion of Mixed Expressions to Fractions and Vice-Versa......Page 97

11.6 Lowest Common Denominator of Algebraic Fractions......Page 98

11.7 Addition, Subtraction, Multiplication, and Division......Page 100

11.9 Properties of Proportions......Page 103

Summary......Page 105

12.1 Introduction......Page 106

12.2 Series-Parallel Resistive Networks......Page 110

Summary......Page 114

13.2 Thevenin's Theorem......Page 115

13.3 Voltage-Divider Rule and Thevenin's Theorem......Page 117

13.4 Norton's Theorem......Page 118

Summary......Page 120

14.1 Introduction......Page 121

14.3 Graphical Solutions of Equations......Page 122

14.4 Algebraic Solution of Simultaneous Equations......Page 124

14.6 Basic Determinants......Page 128

Summary......Page 131

15.2 Geometrical Representation of Imaginary Numbers......Page 132

15.3 Pure Imaginary Numbers......Page 133

15.4 Complex Numbers and Operations......Page 134

Summary......Page 137

16.2 Common Logarithms......Page 138

16.4 Multiplication and Division by Logarithms......Page 139

16.6 Applications of Common Logarithms......Page 140

16.7 Decibel Reference Levels......Page 141

16.8 Frequency Response and Decibel Gain......Page 142

16.9 Filter Concepts and the Bode Plot......Page 143

16.10 Band-Pass Filter Circuits......Page 144

Summary......Page 149

17.1 Introduction......Page 150

17.2 Natural Logarithms......Page 152

17.3 Inductance and Exponential Formulas......Page 153

Summary......Page 155

18.1 Angular Notation......Page 156

18.2 Trigonometric Functions......Page 158

18.3 Trigonometric Functions of 30°, 45°, and 60°......Page 159

18.4 General Angles......Page 160

Summary......Page 162

19.2 Periodic Functions......Page 163

19.3 Vector Notations......Page 165

19.4 Applications of Vectors......Page 166

Summary......Page 167

20.1 Introduction......Page 168

20.2 Voltage Relations in a Sine Wave......Page 169

20.3 Capacitors in A-C Circuits......Page 171

20.5 Capacitors Connected in Series......Page 172

20.6 Resistance and Capacitance Connected in Series......Page 173

20.8 Resistance and Inductance Connected in Series......Page 175

20.9 Admittance and Susceptance......Page 176

20.10 Analysis of Parallel A-C Circuits......Page 177

20.11 Resistance and Capacitance Connected in Parallel......Page 178

20.13 The j Operator Notation......Page 180

20.14 Analysis of Series-Parallel LCR Circuits......Page 182

20.15 Analysis of Series-Parallel Circuits......Page 184

20.16 Analysis of Series-Parallel LCR Circuits......Page 186

Summary......Page 189

21.2 Boolean Addition and Multiplication......Page 190

21.3 Logic Expressions and Symbology......Page 191

21.4 Rules and Laws of Boolean Algebra......Page 193

21.5 Theorems for Boolean Algebra......Page 194

21.6 Demorgan's Theorems......Page 196

21.8 Entering Boolean Equations in a KARNAUGH Map......Page 198

21.9 Simplification of Boolean Equations......Page 199

Summary......Page 202

Answers for Basic Electronics Math......Page 204

Index......Page 216

- Author / Uploaded
- Clyde Herrick

- Similar Topics
- Technique
- Electronics