Logical AND
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Type classification: this is a lesson resource. |
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 statement: I am hungry.
- Let represent the false statement: It is raining.
- Let represent the true statement: I am hungry.
- is false.
- Let represent the true statement: I am hungry.
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.