Logical XOR
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: Logical OR
Introducing the Exclusive OR!
edit: This is the XOR operator. It is also called the exclusive OR, to distinguish it from the inclusive OR of the previous lesson. Like the inclusive OR, it is a dyadic operator; unlike any other operator, it is true when one and only one input is true.
- Let represent the statement: It is raining.
- Let represent the statement: I am hungry.
- represents the exclusive disjunction of statements and : It is raining OR I am hungry, But not both.
Truth Table
editIts truth table is unique. Here it is!
T | T | F |
T | F | T |
F | T | T |
F | F | F |
Why XOR is Special
editXOR is used for adding binary numbers, and is the fundamental arithmetic operation used by computers.
Next Lesson
editYour next lesson is called Conditional Operator.