Digital Design #04 | Boolean Algebra and De Morgan's Laws

Digital Design

Instructor: Dr. Süleyman Burak ÇELİK

In this fourth Digital Design lesson, we use Boolean algebra to rewrite logic expressions without changing their truth-table behavior. We introduce basic Boolean identities, De Morgan's laws, and a worked simplification that reduces a multi-gate circuit to a single signal. In this video: - Why truth tables grow quickly - Boolean identities as safe rewrite rules - De Morgan's laws - Worked example: `F = (A AND B) OR (A AND B')` - Circuit equivalence and truth-table check Topics: 00:00 Rewrite logic, keep behavior 00:03 Why Boolean algebra 00:41 Basic identities 01:20 De Morgan's laws 01:56 Worked simplification 02:30 Circuit view 02:57 Recap Next lesson: sum of products, product of sums, minterms, and maxterms. #DigitalDesign #BooleanAlgebra #DeMorgan #LogicDesign #LogicGates #DigitalLogic #TruthTable #AcEdumy #Engineering