What is boolean algebra in digital electronics?

In essence, Boolean algebra is the mathematics of logic circuits. It is a system that operates on just two values: TRUE (1) and FALSE (0). In digital electronics, these correspond directly to high and low voltage states.

The system uses three basic operations: AND, OR, and NOT. For example, an AND operation is only TRUE if all its inputs are TRUE. Designers use this algebra to analyze and, very importantly, simplify complex digital circuits before they are built. Each logical operation is performed by a physical component called a logic gate. It is the fundamental language that allows all digital devices, from your phone to a data centre, to make decisions and process information.