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 | edit source]
: 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[edit | edit source]
Its truth table is unique. Here it is!
Why XOR is Special[edit | edit source]
XOR is used for adding binary numbers, and is the fundamental arithmetic operation used by computers.
Next Lesson[edit | edit source]
Your next lesson is called Conditional Operator.