Template:2-ary truth table

$A$	$B$
F	F
F	T
T	F
T	T

Template documentation[view] [edit] [history] [purge]

Usage

This template is for articles like Exclusive or. The colors white and red correspond to Venn diagrams like File:Venn0110.svg, as well as other files like File:Variadic logical XOR.svg.

{{2-ary truth table|0|1|1|0|<math>A \oplus B</math>}}

gives:

$A$	$B$	$A\oplus B$
F	F	F
F	T	T
T	F	T
T	T	F

More complex tables can be created with the same styles:

Implications

{{2-ary truth table|A=P|B=Q
|1|1|0|1|<math> P \rightarrow Q</math>
|thick
|1|0|1|1|<math> P \leftarrow Q</math> (converse)
}}

$P$	$Q$	$P\rightarrow Q$	$P\leftarrow Q$ (converse)
F	F	T	T
F	T	T	F
T	F	F	T
T	T	T	T

Disjunction with implication

{{2-ary truth table
|1|1|0|1|<math>A \rightarrow B</math>
|thick
|0|1|1|1|<math>(A \rightarrow B) \rightarrow B</math>
|
|0|1|1|1|<math>A \or B</math>
}}

$A$	$B$	$A\rightarrow B$	$(A\rightarrow B)\rightarrow B$	$A\lor B$
F	F	T	F	F
F	T	T	T	T
T	F	F	T	T
T	T	T	T	T

Disjunction with implication and negation

{{2-ary truth table
|1|1|0|0|<math>\neg A</math>
|thick
|0|1|1|1|<math>\neg A \rightarrow B</math>
|
|0|1|1|1|<math>A \or B</math>
}}

$A$	$B$	$\neg A$	$\neg A\rightarrow B$	$A\lor B$
F	F	T	F	F
F	T	T	T	T
T	F	F	T	T
T	T	F	T	T

In this template A is 0011, and B is 0101. In the corresponding Venn diagram files it is the other way round.
E.g. implication has to be entered as 1101. But the corresponding Venn diagram is File:Venn1011.svg

The above documentation is transcluded from Template:2-ary truth table/doc. (edit | history)
Editors can experiment in this template's sandbox (edit | diff) and testcases (create) pages.
Add categories to the /doc subpage. Subpages of this template.