As requested, here is a Venn diagram for exclusive or.

Technically, that ‘^’ should be a ‘∩’, as it is really intersection that I mean and not AND (the complement of AND would also include everything that is neither A nor B), but Illustrator was a bitch and wouldn’t let me use that character. Since the original question conflated logical operations and set theoretical operations to begin with, I feel justified in my substitution.

-lovelytornado

Derp.