boolean algebra

Truth Functions in Logic

A truth function maps truth values (true/false) to truth values. It is fundamental in logic for defining the meaning of…

4 days ago

Sheffer Stroke: The All-Powerful Logical Operation

The Sheffer stroke, also known as NAND, is a fundamental logical operation. It's a functionally complete operator, meaning all other…

4 days ago

Logic Gates: The Building Blocks of Digital Circuits

Logic gates are fundamental electronic components that perform basic logical operations. They are the building blocks of digital circuits, processing…

4 days ago

Exclusive OR (XOR)

Exclusive OR (XOR) is a logical operation that outputs true when inputs differ and false when they are the same.…

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Exclusive Disjunction (XOR)

Exclusive disjunction, or XOR, is a logical operation that yields true only when exactly one of its inputs is true.…

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Equivalence in Logic and Mathematics

Equivalence signifies that two statements have the same truth value under all interpretations. It's crucial in logic, mathematics, and computer…

4 days ago

Double Negation Elimination

Double negation elimination is a core principle in classical logic. It states that a statement preceded by two negations is…

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Disjunctive Normal Form (DNF)

Disjunctive Normal Form (DNF) is a standardized way to represent logical formulas. It expresses a formula as a disjunction (OR)…

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De Morgan’s Rules

De Morgan's rules provide two fundamental laws for transforming negated logical expressions. They state that the negation of a conjunction…

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De Morgan Duality Explained

De Morgan duality reveals the relationship between AND and OR logical operators. It states that negating a conjunction equals the…

4 days ago