A XOR gate, which is given the symbol below,
produces an output of 1 if one of the two inputs is 1 and the other is 0. If both inputs are 1 then the out is 0. This makes a XOR gate different from an OR gate. The truth table is shown below.
|
A |
B |
A XOR B |
|
0 |
0 |
0 |
|
1 |
0 |
1 |
|
0 |
1 |
1 |
|
1 |
1 |
0 |
We can write the output from a XOR gate in Boolean algebra as
means 'NOT A',
means 'OR' and
means 'AND' . Writing the output like this makes a XOR gate easy to draw from NOT and AND gates. We get,
