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  1. Boolean algebra is a branch of algebra that deals with binary variables and logical operations. It was introduced by George Boole in 1854 and is fundamental in the development of digital electronics systems, computer science, set theory, and statistics. Boolean algebra uses the symbols 0 and 1, or True and False, to represent logical values.

    Basic Operations

    Negation (NOT)

    The NOT operation reverses the value of a Boolean variable. If A = 1, then NOT A (denoted as A') = 0, and if A = 0, then NOT A = 1.

    Conjunction (AND)

    The AND operation returns true only if both operands are true. For example:

    • A = True, B = True, then A AND B = True

    • A = True, B = False, then A AND B = False

    Disjunction (OR)

    The OR operation returns true if at least one operand is true. For example:

    • A = True, B = False, then A OR B = True

    • A = False, B = False, then A OR B = False

    Boolean Expressions and Variables

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  2. Boolean Algebra - Math is Fun

    Boolean Algebra is about true and false and logic. The simplest thing we can do is to not or invert: not true is false.
    Not

    The simplest thing we can do is to "not" or "invert": 1. not true is false 2. not false is true We can write this down in a "truth table" (we use T for true and F for false):

    Simplicity!

    So we only have two possible values: 1. true 2. false And only three basic operations: 1. and 2. or 3. not We can combine them to work out logical things. That's it.

  3. Boolean Algebra - GeeksforGeeks

    Nov 3, 2025 · Boolean Algebra is a branch of mathematics that deals with variables that have only two possible values — typically denoted as 0 and 1 (or false and …

  4. Boolean Algebra Tutorial

    An easy to follow beginners introduction to Boolean Algebra (also known as Boolean Logic or just Logic).

  5. What is Boolean Algebra? Basics of Digital Logic - MADE …

    Nov 26, 2025 · Boolean algebra is the language of digital electronics, as it lays the foundation for operating, thinking, and interacting with digital electronics and …

  6. Boolean Algebra: Simplified With 10 Examples

    Jul 24, 2025 · In this blog, let us explore what Boolean algebra is, go through 10 easy Boolean algebra examples, understand the laws of Boolean algebra, and …

  7. Boolean Algebra - Laws, Simplification, and Examples Explained

    Learn Boolean algebra in maths with simple laws, solved examples, and easy methods to simplify Boolean expressions. Ideal for digital electronics, exams, and quick logic circuit understanding.

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  9. Boolean Algebra Solver - Boolean Expression Calculator

    Boolean Algebra expression simplifier & solver. Detailed steps, Logic circuits, KMap, Truth table, & Quizes. All in one boolean expression calculator. Online tool. Learn boolean algebra.

  10. Boolean Algebra Expression - Laws, Rules, Theorems …

    Boolean algebra is a type of algebra where the input and output values can only be true (1) or false (0). Boolean algebra uses logical operators and is used to build …

  11. Boolean Algebra Basics—An Overview of Boolean Logic

    Jul 28, 2022 · New to digital logic, want a refresher, or to dive deeper into Boolean algebra? This article teaches the basics of Boolean algebra and prepares you for …

  12. Boolean Algebra Tutorial - Laws and Theorems | Truth Table Tools

    Complete Boolean algebra tutorial covering fundamental laws, De Morgan's theorems, expression simplification, Karnaugh maps, and algebraic manipulation techniques for digital logic design and …