Logical AND

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Welcome! This is a lesson in the Introductory Discrete Mathematics for Computer Science course here at Wikiversity.

Previous lesson: Using truth tables

Your first diadic operator![edit]

I apologize for the name of this lesson. The true name of this operator, which is a diadic operator, is a conjunction. It is a bit dangerous to refer to a conjunction as an AND operator, because English words are far more vague than logic.

  • A diadic operator takes 2 arguments, p and q. It returns a single truth value.
  • The conjunction, represented by the symbol , returns the value "true" if and only if both arguments are true.

 : This is the conjunction or AND operator

  • Let represent the statement: It is raining.
Let represent the statement: I am hungry.
represents the conjunction of statements and : It is raining AND I am hungry.


  • Let represent the false statement: It is raining.
Let represent the true statement: I am hungry.
is false.

Truth table for conjunction statements[edit]

T T T
T F F
F T F
F F F

Next lesson[edit]

Your next lesson is called Logical OR.