Ch 13: Logic & Algebra

About This Chapter

This short chapter can improve your understanding of logic and algebra as you study for an upcoming test. Explore entertaining lessons and take short quizzes to strengthen your knowledge in a short period of time.

Logic & Algebra - Chapter Summary

Our instructors have developed fun lessons you can access anytime to study logic and algebra. This chapter provides in-depth analyses of topics that include tautology in math, the algebra of sets and the Karnaugh map. Once you've completed the lessons, you will be ready to do the following:

  • Discuss the format of algebraic proofs
  • Detail the role and provide examples of propositional logic in algebra
  • Exhibit knowledge of propositions, truth values and truth tables
  • Identify conjunctions and disjunctions and discuss connectors used with each
  • Define tautology in math and the algebra of sets
  • Explain the rules, theorems and properties of Boolean algebra
  • Share details about Boolean logic, operators and expressions
  • Provide the definition and examples of the Karnaugh map

Absorb information about logic and algebra your way by accessing any number of lessons in this chapter in your sequence of choice. If you develop questions during your review of the lessons, feel free to submit them to our experts. When ready, check your understanding of each lesson by taking its accompanying quiz. A practice exam is available to test your knowledge of the entire chapter.

8 Lessons in Chapter 13: Logic & Algebra
Test your knowledge with a 30-question chapter practice test
Algebraic Proofs: Format & Examples

1. Algebraic Proofs: Format & Examples

Algebraic proofs are actually kind of cool. Watch this video lesson to see how an algebraic proof shows you the mathematical reasoning behind your algebraic solutions. Use this method to show your teachers why your answer is the right one.

Propositions, Truth Values and Truth Tables

2. Propositions, Truth Values and Truth Tables

Watch this video lesson and learn what truth values are and what a truth table looks like. Learn how to go from a proposition to its negation and how that affects the truth values and the truth tables.

Logical Math Connectors: Conjunctions and Disjunctions

3. Logical Math Connectors: Conjunctions and Disjunctions

Watch this video lesson to learn how to identify conjunctions and disjunctions. Also learn the connectors that are used with each. Learn how you can use them to make statements.

Tautology in Math: Definition & Examples

4. Tautology in Math: Definition & Examples

Discover what a tautology is, and learn how to determine if a statement is a tautology by constructing a truth table. Test your skills with a short quiz.

The Algebra of Sets: Properties & Laws of Set Theory

5. The Algebra of Sets: Properties & Laws of Set Theory

The algebra of sets is an analysis of values. This lesson provides an overview of the properties of sets and laws of set theory and illustrates them with real-life examples.

Boolean Algebra: Rules, Theorems, Properties & Examples

6. Boolean Algebra: Rules, Theorems, Properties & Examples

In this lesson you will discover and use the rules of Boolean algebra to simplify Boolean expressions (statements that are either True or False). The Rules of Boolean algebra are given in a table, and a few examples show how to use them.

Boolean Logic, Operators & Expressions

7. Boolean Logic, Operators & Expressions

Programming uses Booleans, which are used to represent values of true and false. Many operations use Boolean logic. Learn how Boolean operators and expressions are used.

What is a Karnaugh Map? - Definition & Examples

8. What is a Karnaugh Map? - Definition & Examples

In this lesson, you'll learn how a Karnaugh map can help you map out results from a Boolean expression. This is especially useful when working with electronic circuits that work off of Boolean logic.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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