Template:2-ary truth table/doc

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:

{{2-ary truth tableTemplate:Sandbox other|0|1|1|0|$A\oplus B$}}

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)
}}

{{2-ary truth tableTemplate:Sandbox other|A=P|B=Q |1|1|0|1|$P\to Q$ |thick |1|0|1|1|$P\leftarrow Q$ (converse) }}

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>
}}

{{2-ary truth tableTemplate:Sandbox other |1|1|0|1|$A\to B$ |thick |0|1|1|1|$(A\to B)\to B$ | |0|1|1|1|$A\vee B$ }}

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>
}}

{{2-ary truth tableTemplate:Sandbox other |1|1|0|0|$\mathrm{\neg }A$ |thick |0|1|1|1|$\mathrm{\neg }A\to B$ | |0|1|1|1|$A\vee B$ }}

Template:Icon 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