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Truth Table


A truth table is a two-dimensional array with n+1 columns. The first n columns correspond to the possible values of n inputs, and the last column to the operation being performed. The rows list all possible combinations of inputs together with the corresponding outputs. For example, the following truth table shows the result of the binary AND operator acting on two inputs A and B, each of which may be true or false.

ABA ^ B
FFF
FTF
TFF
TTT

See also

AND, Connective, Equivalent, Implies, Karnaugh Map, Multiplication Table, NAND, NOR, NOT, OR, XNOR, XOR

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References

Carnap, R. "Truth Tables." §4 in Introduction to Symbolic Logic and Its Applications. New York: Dover, pp. 10-15, 1958.

Referenced on Wolfram|Alpha

Truth Table

Cite this as:

Weisstein, Eric W. "Truth Table." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TruthTable.html

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