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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).

gate - logic XOR (exclusive OR) symbol
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


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