With this circuit the output is only true with the not circuit when A and B are either both false or both true. Without the not circuit, the output is true when only one A or B is true and the other is false.
A - B - Output A - B - Output
0 - 0 - 1 0 - 0 - 0
1 - 0 - 0 1 - 0 - 1
0 - 1 - 0 0 - 1 - 1
1 - 1 - 1 1 - 1 - 0
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