What is Boolean Algebra ?

What is Boolean Algebra ?

Boolean Algebra Definition

Boolean algebra is a branch of mathematics focused on variables valued either 1 or 0, used primarily in digital circuit design.

Core Operations

It revolves around three fundamental operations—AND, OR, and NOT—to handle logical operations in binary systems.

Theorems and Laws

Boolean algebra includes critical theorems like De Morgan’s, which simplify the conversion between ANDs to ORs and vice versa, using complementation.

Cumulative Law for Boolean Algebra

Associative Laws for Boolean Algebra

Logical Diagram Representation

Expressions in Boolean algebra can be depicted through various logic gates, aiding in understanding circuit designs.

Practical Application

Boolean algebra is essential for creating and simplifying digital circuits, proving its utility with each theorem and law.