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Template:2-ary truth table/doc

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Usage

[edit]

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:

FFF
FTT
TFT
TTF

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)
}}
(converse)
FFTT
FTTF
TFFT
TTTT
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>
}}
FFTFF
FTTTT
TFFTT
TTTTT
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>
}}
FFTFF
FTTTT
TFFTT
TTFTT

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