Basic Electronics Math 075069727X, 1865843830

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