Front Cover -- Basic Electronics Math -- Copyright Page -- Table of Contents -- Chapter 1. Arithmetic Fractions -- 1.1 Introduction -- 1.2 Rounding Off Numbers -- 1.3 Common Fractions -- 1.4 Addition of Fractions -- 1.5 Subtraction of Fractions -- 1.6 Mixed Numbers -- 1.7 Mathematical Expressions and Terms -- 1.8 Signs of Grouping -- Summary -- Chapter 2. Operations with Powers and Roots of Numbers -- 2.1 Introduction -- 2.2 Extraction of Square Roots -- 2.3 Roots of Fractions -- 2.4 Powers and Roots -- 2.5 Higher Powers and Roots of Numbers -- Summary -- Chapter 3. Scientific Notation and Powers of Ten -- 3.1 Scientific Notation (Powers of Ten) -- 3.2 Signs of Exponents -- 3.3 Addition and Subtraction of Powers of Ten -- 3.4 Multiplying with Powers of Ten -- 3.5 Dividing by Powers of Ten -- 3.6 Multiplication and Division Combined -- 3.7 Laws of Exponents -- 3.8 Raising a Power of Ten to a Power -- 3.9 Taking the Root of a Power of Ten -- Summary -- Chapter 4. Units--Measurements and the Metric System -- 4.1 Introduction -- 4.2 Units for Electronics -- 4.3 Ranges of Electrical Units -- 4.4 Systems of Measurement -- 4.5 The English System of Measurement -- 4.6 The SI Metric System of Measurement -- 4.7 A Summary of the Most Commonly Used Metric Measurements -- 4.8 Relationships Between the Metric and the English Systems -- 4.9 The Micron and the Mil -- 4.10 Style and Usage of the International System of Units (SI) -- Summary -- Chapter 5. Computer Numbering Systems -- 5.1 Introduction -- 5.2 Decimal Numbering System (Base 10) -- 5.3 Binary Numbering System (Base 2) -- 5.4 Binary to Decimal Conversion -- 5.5 Decimal to Binary Conversion -- 5.6 Octal Numbering System (Base 8) -- 5.7 Converting Binary Numbers into Octal Numbers -- 5.8 Hexadecimal Numbering System (Base 16) -- 5.9 Addition of Binary Numbers -- 5.10 Addition of Octal Numbers.

5.11 Additional of Hexadecimal Numbers -- 5.12 Subtraction of Binary Numbers -- 5.13 Two's Complement -- 5.14 Eight's and Sixteen's Complement -- 5.15 Subtracting Octal Numbers -- Summary -- Chapter 6. Introduction to Algebra -- 6.1 Introduction -- 6.2 Expressed and Implied Signs of Algebraic Operations -- 6.3 Numerical and Literal Algebraic Expressions, Equations, and Formulas -- 6.4 Terms in Algebraic Expressions, Equations, and Formulas -- 6.5 Similar Terms -- 6.6 Monomials, Binomials, Trinomials, and Polynomials -- 6.7 Subscript and Prime Notations -- 6.8 Substitution of Numerical Values and Evolution -- 6.9 Algebraic Addition -- 6.10 Algebraic Subtraction -- 6.11 Addition of Polynomials -- 6.12 Subtraction of Polynomials -- Summary -- Chapter 7. Algebraic Multiplication of Monomials and Polynomials -- 7.1 Introduction -- 7.2 Multiplication of Signed Numbers -- 7.3 Multiplication of Signed Numbers with Exponents -- 7.4 Multiplication of Monomials Containing Exponents -- 7.5 Multiplication of Polynomials by Monomials -- 7.6 Multiplication of a Polynomial by Another Polynomial -- Summary -- Chapter 8. Division of Monomials and Polynomials -- 8.1 Introduction -- 8.2 Subtraction of Exponents -- 8.3 Division of Monomials -- 8.4 Division of a Polynomial by a Monomial -- 8.5 Division of a Polynomial by Another Polynomial -- Summary -- Chapter 9. Equations and Formulas -- 9.1 Introduction -- 9.2 Axioms for the Solution of Equations -- 9.3 Rules for the Solution of Equations -- 9.4 Mathematical Statements of Circuit Problems -- Summary -- Chapter 10. Factors of Algebraic Expressions -- 10.1 Introduction -- 10.2 Powers and Roots of Monomials -- 10.3 Monomial Factors of Polynomials -- 10.4 Calculation of the Square of a Binomial -- 10.5 The Product of Two Binomials -- 10.6 Extraction of the Square Root of a Trinomial.

10.7 The Difference of Two Algebraic Numbers -- 10.8 Prime Factors of Polynomials -- 10.9 Factors of Trinomials -- Summary -- Chapter 11. Operations on Algebraic Fractions -- 11.1 Degrees of Monomials and Polynomials -- 11.2 Highest Common Factors of Monomials and Polynomials -- 11.3 Lowest Common Multiples of Monomials and Polynomials -- 11.4 Numerators and Denominators of Algebraic Fractions -- 11.5 Conversion of Mixed Expressions to Fractions and Vice-Versa -- 11.6 Lowest Common Denominator of Algebraic Fractions -- 11.7 Addition, Subtraction, Multiplication, and Division -- 11.8 Ratios and Quotients -- 11.9 Properties of Proportions -- Summary -- Chapter 12. Fractional Equations -- 12.1 Introduction -- 12.2 Series-Parallel Resistive Networks -- Summary -- Chapter 13. Network Theorems -- 13.1 Introduction -- 13.2 Thevenin's Theorem -- 13.3 Voltage-Divider Rule and Thevenin's Theorem -- 13.4 Norton's Theorem -- Summary -- Chapter 14. Simultaneous Equations and Graphical Solutions -- 14.1 Introduction -- 14.2 Rectangular or Cartesian Coordinates -- 14.3 Graphical Solutions of Equations -- 14.4 Algebraic Solution of Simultaneous Equations -- 14.5 Three Simultaneous Equations in Three Unknowns -- 14.6 Basic Determinants -- Summary -- Chapter 15. Complex Algebra -- 15.1 Introduction -- 15.2 Geometrical Representation of Imaginary Numbers -- 15.3 Pure Imaginary Numbers -- 15.4 Complex Numbers and Operations -- Summary -- Chapter 16. Logarithms -- 16.1 Introduction -- 16.2 Common Logarithms -- 16.3 Antilogarithms -- 16.4 Multiplication and Division by Logarithms -- 16.5 Evolution of Numbers by Logarithms -- 16.6 Applications of Common Logarithms -- 16.7 Decibel Reference Levels -- 16.8 Frequency Response and Decibel Gain -- 16.9 Filter Concepts and the Bode Plot -- 16.10 Band-Pass Filter Circuits -- Summary.

Chapter 17. Natural Logarithms and Exponential Functions -- 17.1 Introduction -- 17.2 Natural Logarithms -- 17.3 Inductance and Exponential Formulas -- Summary -- Chapter 18. Fundamentals of Trigonometry -- 18.1 Angular Notation -- 18.2 Trigonometric Functions -- 18.3 Trigonometric Functions of 30°, 45°, and 60° -- 18.4 General Angles -- Summary -- Chapter 19. Vector Fundamentals -- 19.1 Introduction -- 19.2 Periodic Functions -- 19.3 Vector Notations -- 19.4 Applications of Vectors -- Summary -- Chapter 20. Principles of Alternating Currents -- 20.1 Introduction -- 20.2 Voltage Relations in a Sine Wave -- 20.3 Capacitors in A-C Circuits -- 20.4 Power Relations in Capacitor Circuits -- 20.5 Capacitors Connected in Series -- 20.6 Resistance and Capacitance Connected in Series -- 20.7 Principles of Inductive Reactance -- 20.8 Resistance and Inductance Connected in Series -- 20.9 Admittance and Susceptance -- 20.10 Analysis of Parallel A-C Circuits -- 20.11 Resistance and Capacitance Connected in Parallel -- 20.12 Resistance and Inductance Connected in Parallel -- 20.13 The j Operator Notation -- 20.14 Analysis of Series-Parallel LCR Circuits -- 20.15 Analysis of Series-Parallel Circuits -- 20.16 Analysis of Series-Parallel LCR Circuits -- Summary -- Chapter 21. Boolean Algebra -- 21.1 Introduction -- 21.2 Boolean Addition and Multiplication -- 21.3 Logic Expressions and Symbology -- 21.4 Rules and Laws of Boolean Algebra -- 21.5 Theorems for Boolean Algebra -- 21.6 Demorgan's Theorems -- 21.7 KARNAUGH Maps -- 21.8 Entering Boolean Equations in a KARNAUGH Map -- 21.9 Simplification of Boolean Equations -- Summary -- Answers for Basic Electronics Math -- Index.