Logical conjunction

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Logical conjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if and only if both of its operands are true.

The truth table of p AND q (also written as p ∧ q, p & q, or p\(\cdot\)q) is as follows:

Logical Conjunction
p q p ∧ q
F F F
F T F
T F F
T T T


See also

Logical operators

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  • Exclusive disjunction
  • Logical conjunction
  • Logical disjunction
  • Logical equality
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  • Logical implication
  • Logical NAND
  • Logical NNOR
  • Negation
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Related topics

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  • Ampheck
  • Boolean algebra
  • Boolean domain
  • Boolean function
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  • Boolean logic
  • Laws of Form
  • Logic gate
  • Logical graph
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  • Peirce's law
  • Propositional calculus
  • Sole sufficient operator
  • Zeroth order logic
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