Xor is the boolean operator that describes the operation of exclusive or. For example, when a waiter asks whether you want orange juice or coffee, they are really asking an exclusive or: you can have one or the other, but not both.
| A | B | A⊻B |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |