Exclusive OR

EXCLUSIVE OR Boolean Expression

Before reading this page read the one on LOGIC GATES.
If you look at the truth table for the OR gate not only does the output go high when A OR B are high but it goes high when A AND B together are high.  This can cause problems in some applications.
Therefore the EXCLUSIVE OR or EXOR is used.
The output of the EXOR only goes high when A or B on its own goes high. That is when A or B exclusively goes high.
When A and B are both high the output stays low.
This is shown in the truth table.