# XOR - Logical EXCLUSIVE OR

A    B    x o r (A,B)
0    0        0
0    1        1
1    0        1
1    1        0

For the logical exclusive OR, XOR(A,B), the result is logical 1 (TRUE) where either A or B, but not both, is nonzero.  The result is logical 0 (FALSE) where A and B are both zero or nonzero.

A and B must have the same dimensions (or one can be a scalar).

This is the common symbol for the 'Exclusive OR'

Example:
If matrix A is:
A =

0     0     1     1
1     1     0     0
0     0     0     0
1     1     1     1

and matrix B is:
B =

0     0     0     0
1     1     1     1
0     1     0     1
1     0     1     0

Then, the logical EXCLUSIVE OR between A and B is:

>> xor(A,B)

ans =

0     0     1     1
0     0     1     1
0     1     0     1
0     1     0     1

>>

Example:
If vector x is:
x =

0     1     2     3     0

and vector y is:
y =

1     2     3     0     0

Then, the logical exclusive OR between x and y is:

ans =

1     0     0     1     0

From 'Exclusive OR' to home

From 'XOR' to 'Boolean Algebra Menu'

 Top Logical AND Logical OR De Morgan's Laws