How the Algebra of Boole Simplifies Circuit Analysis - Math Foundations - N J Wildberger

Learn how the Algebra of Boole simplifies circuit analysis in this 29-minute video lecture from the Math Foundations series. Explore a new approach to encoding the effects of inputs on logic gate circuits using algebraic expressions based on the Algebra of Boole, which treats AND and XOR operations as primary. Compare this method to classical Boolean algebra and discover why it offers a simpler and more powerful framework for engineers and computer scientists. Examine two key examples demonstrating both approaches, and gain insights into tackling common engineering problems related to logic circuits and gates.

Introduction
Using the Algebra of Boole
Using Boolean Algebra
A main task with logic gates
Using Boolean Algebra