Introduction To Boolean Algebra And Logic Gates
Published 1/2023
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz
Language: English | Size: 1.79 GB | Duration: 5h 13m
Published 1/2023
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz
Language: English | Size: 1.79 GB | Duration: 5h 13m
Boolean Algebra and Logic Gates - Learn the Basics
What you'll learn
Boolean Algebra
Creation of Truth Table
Boolean Expressions, Boolean Functions
Basic Theorems, De Morgan's Theorems
Sum of Product (SOP) , Product of Sum(POS)
Minterms, Maxterms
Karnaugh Map (K-Map), Pairs, Quad, Octet
Logic Operators, Logic Gates, Basic Gates, Derived Gates
Requirements
The course has no specific prerequisites
Description
The details of the course are as belowIntroductionIntroduction to Boolean AlgebraNumber System - OverviewBinary Valued Quantities Logical OperationsLogical Function And Logical ExpressionsTruth Table, Tautology, FallacyLogical OperatorsNOTANDOR Evaluation of Boolean Expressions Using Truth TableEvaluation of Boolean Expressions Using Truth Table - ConceptsCreation of Table and Possible Combination of ValuesEvaluation of Boolean Expressions Using Truth Table - ExamplesLogic GatesBasic Logic Gates - IntroductionNOTORANDDerived Logic Gates - IntroductionNOR GateNAND GateXOR GateXNOR GateUniversal Gates Basic Postulates of Boolean AlgebraBasic Postulates of Boolean AlgebraPrinciple of DualityBasic Theorems of Boolean AlgebraProperties of Zero and OneIdempotence law Complementary lawInvolution lawCommutative lawAssociative lawDistributive lawAbsorption lawFew More laws De Morgan’s TheoremsDeMorgan’s Theorem IntroductionDeMorgan’s First theoremDeMorgan’s Second theoremApplications of DeMorgan’s theoremsBoolean Expression and Boolean FunctionBoolean Expression and Boolean FunctionExamples on Simplification of Boolean ExpressionsDerivation of Boolean ExpressionRecall Few Points - Binary to DecimalMintermsMaxtermsConcepts of Minterms and MaxtermsCanonical ExpressionsConversion for Non Standard SOP to SOP FormConversion for Non Standard POS to POS Form Simplification of Boolean ExpressionsSimplification using Karnaugh mapRecall Few Points - Gray CodeDraw and Fill K-Map for Sum of Product (SOP) formRules for Grouping Minterms in K-MapReduction rules in SOP form using K-mapGrouping and Reduction for Pairs in SOP form Grouping and Reduction for Quads in SOP form Grouping and Reduction for Octet in SOP form Summary of Reduction Rules for SOP using K-mapK-Map Simplification Technique -SOP FormSOP Reduction using Karnaugh Map - ExamplesDraw and Fill K-Map for POS formRules for Grouping Maxterms in K-MapSummary of Reduction Rules for POS using K-mapK-Map Simplification Technique - POS FormPOS Reduction using Karnaugh Map - Examples
Overview
Lecture 0 WelcomePage
Section 1: Welcome
Lecture 1 Welcome
Section 2: Introduction
Lecture 2 Introduction to Boolean Algebra
Lecture 3 Number System - An Overview
Section 3: Binary Valued Quantities
Lecture 4 Binary Valued Quantities – Variable and Constants
Section 4: Logical Operations
Lecture 5 Logical Function And Logical Expressions
Lecture 6 Truth Table, Tautology, Fallacy
Lecture 7 Logical Operators
Lecture 8 NOT
Lecture 9 AND
Lecture 10 OR
Section 5: Evaluation of Boolean Expressions Using Truth Table
Lecture 11 Evaluation of Boolean Expressions Using Truth Table - Concepts
Lecture 12 Creation of Table and Possible Combination of Values
Lecture 13 Evaluation of Boolean Expressions Using Truth Table Example 1
Lecture 14 Evaluation of Boolean Expressions Using Truth Table Example 2
Lecture 15 Evaluation of Boolean Expressions Using Truth Table Example 3
Lecture 16 Evaluation of Boolean Expressions Using Truth Table Example 4
Lecture 17 Evaluation of Boolean Expressions Using Truth Table Example 5
Lecture 18 Evaluation of Boolean Expressions Using Truth Table Example 6
Lecture 19 Evaluation of Boolean Expressions Using Truth Table Example 7
Lecture 20 Evaluation of Boolean Expressions Using Truth Table Example 8
Section 6: Logic Gates
Lecture 21 What is a Logic Gate
Lecture 22 Basic Logic Gates - Introduction
Lecture 23 NOT
Lecture 24 OR
Lecture 25 AND
Lecture 26 Derived Logic Gates - Introduction
Lecture 27 NOR Gate
Lecture 28 NAND Gate
Lecture 29 XOR Gate
Lecture 30 XNOR Gate
Lecture 31 Universal Gates
Lecture 32 Logic Gates Summary
Section 7: Basic Postulates of Boolean Algebra
Lecture 33 Basic Postulates of Boolean Algebra
Lecture 34 Principle of Duality
Lecture 35 Basic Theorems of Boolean Algebra
Lecture 36 Properties of Zero and One
Lecture 37 Idempotence Law
Lecture 38 Complementary Law
Lecture 39 Involution Law
Lecture 40 Commutative Law
Lecture 41 Associative Law
Lecture 42 Distributive Law
Lecture 43 Absorption Law
Lecture 44 Few More Laws
Lecture 45 Summary of Basic Theorems
Section 8: De Morgan’s Theorems
Lecture 46 DeMorgan’s Theorem Introduction
Lecture 47 DeMorgan’s First Theorem
Lecture 48 DeMorgan’s Second Theorem
Lecture 49 Applications of DeMorgan’s Theorems
Section 9: Boolean Expression and Boolean Function
Lecture 50 Boolean Expression and Boolean Function
Lecture 51 Examples on Simplification the Boolean Expressions
Lecture 52 Derivation of Boolean Expression
Lecture 53 Recall Few Points - Binary to Decimal
Lecture 54 Minterms
Lecture 0 Maxterms
Lecture 55 Maxterms
Lecture 56 Concepts of Minterms and Maxterms
Lecture 57 Canonical Expressions
Lecture 58 Conversion for Non Standard SOP to SOP Form
Lecture 59 Conversion for Non Standard POS to POS Form
Section 10: Simplification of Boolean Expressions
Lecture 60 Simplification using Karnaugh map
Lecture 61 Recall Few Points - Gray Code
Lecture 62 Draw and Fill K-Map for SOP form
Lecture 63 Rules for Grouping Minterms in K-Map
Lecture 64 Reduction rules in SOP form using K-map
Lecture 65 Grouping and Reduction for Pairs in SOP form
Lecture 66 Grouping and Reduction for Quads in SOP form
Lecture 67 Grouping and Reduction for Octet in SOP form
Lecture 68 Summary of Reduction Rules for SOP using K-map
Lecture 69 K-Map Simplification Technique -SOP Form
Lecture 70 SOP Reduction using Karnaugh Map - Examples
Lecture 71 Draw and Fill K-Map for POS form
Lecture 72 Rules for Grouping Maxterms in K-Map
Lecture 73 Summary of Reduction Rules for POS using K-map
Lecture 74 K-Map Simplification Technique - POS Form
Lecture 75 POS Reduction using Karnaugh Map - Examples
Section 11: Let's Wrap Up
Lecture 76 Thank You
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