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Digital Electronics & Logic Design Engineering Mathematics GATE CS

Mathematics Properties of Boolean algebra

Switching algebra is also known as Boolean Algebra. It is used to analyze digital gates and circuits It is logic to perform mathematical operation on binary numbers ...
Digital Electronics & Logic Design Engineering Mathematics GATE CS

Mathematics Representation of Boolean Functions

A Boolean function is described by an algebraic expression consisting of binary variables, the constants 0 and 1, and the logic operation symbols For a given set of ...
Engineering Mathematics GATE CS

Mathematics Introduction to Propositional Logic Set 2

Prerequisite : Introduction to Propositional Logic – Set 1 De Morgan’s Law : In propositional logic and boolean algebra, De Morgan’s laws are a ...
Engineering Mathematics GATE CS

Mathematics Some theorems on Nested Quantifiers

Prerequisite – Predicates and Quantifiers – Set 1, Set 2 Quantifiers are expressions that indicate the scope of the term to which they are attached, her...
Engineering Mathematics GATE CS

Mathematics Propositional Equivalences

Introduction Two logical expressions are said to be equivalent if they have the same truth value in all cases. Sometimes this fact helps in proving a mathematical res...
Engineering Mathematics GATE CS

Mathematics Introduction to Propositional Logic Set 1

What is Logic? Logic is the basis of all mathematical reasoning, and of all automated reasoning. The rules of logic specify the meaning of mathematical statements. Th...
Engineering Mathematics GATE CS

Mathematics Set Operations (Set theory)

Union Union of the sets A and B, denoted by A ∪ B, is the set of distinct element belongs to set A or set B, or both. Above is the Venn Diagram of A U B. Exam...
Engineering Mathematics GATE CS

Mathematics Predicates and Quantifiers Set 2

Prerequisite : Predicates and Quantifiers Set 1, Propositional Equivalences Logical Equivalences involving Quantifiers Two logical statements involving predicates and...
Engineering Mathematics GATE CS

Mathematics Predicates and Quantifiers Set 1

Prerequisite : Introduction to Propositional Logic Introduction Consider the following example. We need to convert the following sentence into a mathematical statemen...
Engineering Mathematics GATE CS

Mathematics Introduction of Set theory

A Set is an unordered collection of objects, known as elements or members of the set. An element ‘a’ belong to a set A can be written as ‘a &#x22...

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