Basic Theorems & Properties of Boolean Algebra I:Postulates,Duality &Basic Theorems|1BCS303 Module 1
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Basic Theorems & Properties of Boolean Algebra I:Postulates,Duality &Basic Theorems|1BCS303 Module 1
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Basic Theorems and Properties of Boolean Algebra I: Postulates, Duality and Basic Theorems | 1BCS303 Module 1
In this 1BCS303 Module 1 lecture, Dr. Lokesh M R explains the five postulates of Boolean algebra, the principle of duality, and the four basic theorems: idempotent, identity, null and involution. Ananya asks the questions students usually ask, and the topic ends with a truth-table proof and three quick MCQs.
What you will learn
The switch model: 1 is closed, 0 is open; OR is parallel, AND is series
The five postulates: closure, identity, commutative, distributive, complement
Duality: how to make the dual of a rule
Idempotent, identity, null and involution laws
Proving a theorem by truth table (a truth table has 2^n rows)
Common mistakes and three quick MCQs
Chapters
0:00 Introduction
0:17 What is Boolean algebra?
0:45 Postulates
1:33 Duality
2:24 Idempotent law
2:48 Identity law
3:16 Null law
3:44 Involution law
4:09 Proving by truth table
4:59 Putting it together
5:18 Common mistakes and MCQs
5:54 Recap and outro
Subject: 1BCS303, Module 1: Basic Theorems and Properties of Boolean Algebra I
Channel: VTU Notes | Exam | Notes | Updates
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