Boolean Logic
Master AND, OR, NOT operations and truth tables
lessons (10)
Introduction to Boolean Logic
Learn the fundamentals of Boolean logic and how TRUE/FALSE values work in mathematics and computing.
True and False Statements
Learn to identify and evaluate statements as true or false.
The AND Operation
Learn how the AND operation works in Boolean logic and how it combines two conditions.
The OR Operation
Learn how the OR logical operation works and when the result is true.
The NOT Operation
Learn how the NOT operation flips true to false and false to true, and how to negate sentences correctly.
Truth Tables
Learn to build a truth table for any compound expression step by step and use it to find tautologies, contradictions and equivalent expressions.
Compound Boolean Statements
Learn to build compound statements from simple ones with AND, OR and NOT, translate between words and symbols, and find their truth value.
Boolean Expressions
Learn to write and evaluate Boolean expressions with 1 and 0, use the order of operations NOT, AND, OR, and build their full truth tables.
Logic Gates
Learn how AND, OR, NOT, XOR, NAND and NOR gates turn 1s and 0s into decisions, and how to find the output of a small circuit.
Boolean Algebra
Learn the laws of Boolean algebra, including De Morgan's laws, and use them to simplify expressions step by step and check the result with a truth table.
Boolean algebra deals with values that are either true or false. Named after George Boole, this system forms the foundation of digital computing and logical circuit design.
What Students Will Learn
- Understand Boolean values
- Apply AND, OR, and NOT operations
- Construct truth tables
- Simplify Boolean expressions
- Apply to digital logic
Frequently Asked Questions
What are Boolean values?
Boolean values are either TRUE (1) or FALSE (0). Everything in Boolean algebra reduces to these two states.
What are the basic Boolean operations?
AND (true only if both are true), OR (true if at least one is true), NOT (reverses the value).
How is Boolean algebra used?
In computer programming, database queries, digital circuit design, and logical reasoning.