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Truth-vector - Boolean Algebra
< boolean algebra

A truth-vector is a vector representation of a truth table.

Equation upper F equals left-bracket f left-parenthesis 0 right-parenthesis comma f left-parenthesis 1 right-parenthesis comma ellipsis comma f left-parenthesis 2 Superscript n Baseline minus 1 right-parenthesis right-bracket Superscript upper T

Where the i-th element Equation f left-parenthesis i right-parenthesis element-of StartSet 0 comma 1 comma 2 comma ellipsis comma 2 Superscript n Baseline minus 1 EndSet of the truth table is the value of a Boolean function of the i-th row in the truth table.

Example[edit]

A B C Q
0 0 0 1
0 0 1 1
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 1
1 1 0 0
1 1 1 0

For example, the following 3-variable truth table on the right has the following truth-vector.


Equation upper F equals left-bracket 1 comma 1 comma 0 comma 0 comma 0 comma 1 comma 0 comma 0 right-bracket Superscript upper T
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