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DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Discrete Mathematics
>
Boolean Computation
>
Mathematica
>
Mathematics and Algorithms
>
Logic & Boolean Algebra
>
Boolean Computation
>
Built-in
Mathematica
Symbol
Relational and Logical Operators
Operators
Tutorials »
|
LogicalExpand
Mod
BitXor
Xnor
Nor
Or
BooleanCountingFunction
See Also »
|
Boolean Computation
Logic & Boolean Algebra
More About »
Xor
Xor
[
e
1
,
e
2
,
...
]
is the logical XOR (exclusive OR) function. It gives
True
if an odd number of the
are
True
, and the rest are
False
. It gives
False
if an even number of the
are
True
, and the rest are
False
.
MORE INFORMATION
Xor
[
e
1
,
e
2
,
...
]
can be input in
StandardForm
and
InputForm
as
. The character
can be entered as
Esc
xor
Esc
or
\[Xor]
.
Xor
gives symbolic results when necessary, applying various simplification rules to them.
Unlike
And
,
Nand
,
Or
and
Nor
,
Xor
must always test all its arguments, and so is not a control structure, and does not have attribute
HoldAll
.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Enter using
Esc
xor
Esc
:
In[1]:=
Out[1]=
Scope
(4)
Applications
(3)
Properties & Relations
(3)
Neat Examples
(2)
SEE ALSO
LogicalExpand
Mod
BitXor
Xnor
Nor
Or
BooleanCountingFunction
TUTORIALS
Relational and Logical Operators
Operators
MORE ABOUT
Boolean Computation
Logic & Boolean Algebra
RELATED LINKS
NKS|Online
(
A New Kind of Science
)
New in 1 | Last modified in 5
. The character 
can be entered as Esc xor Esc or \[Xor]. 
EXAMPLES
Basic Examples 
Scope 