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 ...
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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 ...
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Prerequisite : Introduction to Propositional Logic – Set 1
De Morgan’s Law :
In propositional logic and boolean algebra, De Morgan’s laws are a ...
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Prerequisite – Predicates and Quantifiers – Set 1, Set 2
Quantifiers are expressions that indicate the scope of the term to which they are attached, her...
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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...
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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...
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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...
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Prerequisite : Predicates and Quantifiers Set 1, Propositional Equivalences
Logical Equivalences involving Quantifiers
Two logical statements involving predicates and...
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Prerequisite : Introduction to Propositional Logic
Introduction
Consider the following example. We need to convert the following sentence into a mathematical statemen...
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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 "...
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