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Truth Tables in discrete mathematics

Track :

Mathematics

Lessons no : 78

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What will you learn in this course?
  • Construct comprehensive truth tables for complex logical expressions using Boolean algebra and logic principles
  • Analyze logical relationships and evaluate the validity of statements with truth tables in discrete mathematics
  • Apply truth tables to simplify logical expressions and identify logical equivalences in computer science and mathematics
  • Determine the truth value of logical operations such as conjunction, disjunction, negation, and implication using truth tables
  • Use truth tables to verify the consistency and validity of logical arguments and propositions
  • Translate real-world problems into logical expressions and analyze them with truth tables for accurate solutions
  • Identify contradictions, tautologies, and contingencies through systematic truth table analysis
  • Enhance problem-solving skills in logic, Boolean algebra, and digital circuit design using truth tables

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Lessons | 78
Proposition Proposition Logic Statement DMS Discrete Mathematics Fundamentals of logic
00:11:11

Proposition Proposition Logic Statement DMS Discrete Mathematics Fundamentals of logic
Connectives Logical Connectives Proposition Logic Statement DMS Discrete Mathematics
00:18:42

Connectives Logical Connectives Proposition Logic Statement DMS Discrete Mathematics
Converse Inverse Contrapositive of Implication Propositions DMS Discrete Mathematics
00:08:06

Converse Inverse Contrapositive of Implication Propositions DMS Discrete Mathematics
Truth Tables in Discrete Mathematics DMS Propositions Statement
00:14:34

Truth Tables in Discrete Mathematics DMS Propositions Statement
Tautology Contradiction Contingency in DMS Discrete Mathematics Proposition Logic Statement
00:10:22

Tautology Contradiction Contingency in DMS Discrete Mathematics Proposition Logic Statement
Well Formed Formula WFF DMS MFCS Propositional Logic Discrete Mathematics
00:06:37

Well Formed Formula WFF DMS MFCS Propositional Logic Discrete Mathematics
Equivalent Formulas Laws of logic Discrete Mathematics DMS with out using truth tables
00:15:26

Equivalent Formulas Laws of logic Discrete Mathematics DMS with out using truth tables
Equivalence of Formulas Logical Equivalence using Truth Tables Propositional Logic DMS MFCS
00:14:51

Equivalence of Formulas Logical Equivalence using Truth Tables Propositional Logic DMS MFCS
Logical Equivalence with out using truth table examples or equivalent formulas examples
00:16:23

Logical Equivalence with out using truth table examples or equivalent formulas examples
Logical Equivalence with out using truth table examples or equivalent formulas examples
00:19:32

Logical Equivalence with out using truth table examples or equivalent formulas examples
Logical Equivalence with out using Truth table Examples DMS MFCS
00:07:04

Logical Equivalence with out using Truth table Examples DMS MFCS
Equivalent Formulas and Logical Equivalence with out using Truth Table Solved examples DMS MFCS
00:58:23

Equivalent Formulas and Logical Equivalence with out using Truth Table Solved examples DMS MFCS
Duality Law Principle of Duality Discrete Mathematics DMS MFCS
00:12:11

Duality Law Principle of Duality Discrete Mathematics DMS MFCS
Tautological Implication Discrete Mathematics DMS MFCS
00:09:24

Tautological Implication Discrete Mathematics DMS MFCS
Conjunctive Normal Form CNF 8 Solved Examples Procedure to obtain CNF What is DMS MFCS
00:30:14

Conjunctive Normal Form CNF 8 Solved Examples Procedure to obtain CNF What is DMS MFCS
Disjunctive Normal Form DNF 7 Solved Examples Procedure to obtain DNF What is DMS MFCS
00:22:59

Disjunctive Normal Form DNF 7 Solved Examples Procedure to obtain DNF What is DMS MFCS
Principal Disjunctive Normal Form PDNF 3 Solved Examples Procedure to obtain PDNF DMS MFCS
00:30:45

Principal Disjunctive Normal Form PDNF 3 Solved Examples Procedure to obtain PDNF DMS MFCS
Principal Conjunctive Normal Form PCNF 2 Solved Examples Procedure to obtain PCNF DMS MFCS
00:27:02

Principal Conjunctive Normal Form PCNF 2 Solved Examples Procedure to obtain PCNF DMS MFCS
Rules of Inference 8 Solved Examples Rule P Rule T Rule CP DMS MFCS
00:39:23

Rules of Inference 8 Solved Examples Rule P Rule T Rule CP DMS MFCS
Consistency and Inconsistency of Premises DMS MFCS Discrete Mathematics
00:20:33

Consistency and Inconsistency of Premises DMS MFCS Discrete Mathematics
Indirect method of proof Proof by Contradiction Inconsistency Premises DMS MFCS
00:19:20

Indirect method of proof Proof by Contradiction Inconsistency Premises DMS MFCS
Predicate Logic Statement Function Quantifiers Universal Existential DMS MFCS
00:16:06

Predicate Logic Statement Function Quantifiers Universal Existential DMS MFCS
Sets Set Representation Set Operations power Set finite infinite subset proper
00:31:03

Sets Set Representation Set Operations power Set finite infinite subset proper
Introduction to Functions in DMS Definition of Function Examples of functions MFCS
00:08:23

Introduction to Functions in DMS Definition of Function Examples of functions MFCS
One To One Function Injective Function Discrete Mathematics Types of Functions MFCS
00:04:33

One To One Function Injective Function Discrete Mathematics Types of Functions MFCS
Onto Function Surjective Function Discrete Mathematics MFCS DMS Types of Functions
00:02:32

Onto Function Surjective Function Discrete Mathematics MFCS DMS Types of Functions
Bijective Function One to One and Onto Discrete Mathematics MFCS Types of Functions
00:04:37

Bijective Function One to One and Onto Discrete Mathematics MFCS Types of Functions
Many to One Function Identity Function Constant Function Discrete Mathematics MFCS
00:04:10

Many to One Function Identity Function Constant Function Discrete Mathematics MFCS
Types of Functions in Discrete Mathematics One to One Onto Bijective Constant Identity
00:18:00

Types of Functions in Discrete Mathematics One to One Onto Bijective Constant Identity
Composite Functions Function Composition DMS MFCS GATE Discrete Mathematics
00:18:09

Composite Functions Function Composition DMS MFCS GATE Discrete Mathematics
Inverse of function in Discrete Mathematical Structures DMS GATE Lecture MFCS
00:09:12

Inverse of function in Discrete Mathematical Structures DMS GATE Lecture MFCS
Introduction to Relations in Discrete Mathematics Definition Examples DMS MFCS
00:05:43

Introduction to Relations in Discrete Mathematics Definition Examples DMS MFCS
Reflexive Relation Irreflexive Discrete Mathematics DMS MFCS GATE Types of Relations
00:07:38

Reflexive Relation Irreflexive Discrete Mathematics DMS MFCS GATE Types of Relations
Symmetric Relation Anti Symmetric Relation Types of Relations DMS MFCS GATE
00:09:03

Symmetric Relation Anti Symmetric Relation Types of Relations DMS MFCS GATE
Transitive Relation Types of Relations DMS MFCS GATE Discrete
00:04:28

Transitive Relation Types of Relations DMS MFCS GATE Discrete
Types of Relations Reflexive Irreflexive Symmetric Anti Symmetric Transitive DMS
00:22:53

Types of Relations Reflexive Irreflexive Symmetric Anti Symmetric Transitive DMS
Representation of Relations Relational Matrix Digraph Representation Discrete Mathematics
00:08:40

Representation of Relations Relational Matrix Digraph Representation Discrete Mathematics
Equivalence Relation in Discrete Mathematics DMS MFCS GATE Examples
00:09:28

Equivalence Relation in Discrete Mathematics DMS MFCS GATE Examples
Compatibility Relation in Discrete Mathematics DMS MFCS GATE Examples
00:05:31

Compatibility Relation in Discrete Mathematics DMS MFCS GATE Examples
Partial Order relation in discrete mathematics Partial Order Set POSET DMS MFCS GATE
00:12:44

Partial Order relation in discrete mathematics Partial Order Set POSET DMS MFCS GATE
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Truth Tables in discrete mathematics course, in this course we delve into the fundamental concepts of Boolean algebra and logic. Truth tables are essential tools used to analyze and represent logical relationships between variables. In this course, you will explore how truth tables systematically display all possible truth values of logical expressions, enabling clear understanding of logical operations such as conjunction, disjunction, negation, and implication. By mastering truth tables, you'll gain insights into evaluating the validity and consistency of complex logical statements. This foundational knowledge is crucial for fields ranging from computer science to mathematics and philosophy.