# BooleanTable

BooleanTable[bf]

gives a list of truth values for all possible combinations of variable values supplied to the Boolean function bf.

BooleanTable[expr,{a1,a2,}]

gives a list of the truth values of the Boolean expression expr for all possible combinations of values of the ai.

BooleanTable[expr,{a1,a2,},{b1,},]

gives a nested table of truth values of expr with the outermost level giving possible combinations of the ai.

# Details

• The possible combinations of variable values are given in the order Tuples[{True,False},n].
• BooleanTable gives a list or array of True, False values.
• Boole[BooleanTable[]] gives 1, 0 values.
• In BooleanTable[expr,{a1,a2,}] etc. any of the variables in expr that are not explicitly among the ai etc. are left in symbolic form.
• BooleanTable[bf,{r1,r2,}] gives a list of truth values corresponding to possible values of the r1, r2, variables for the Boolean function bf.
• BooleanTable[bf,{r1,},{s1,},] gives a nested table of truth values with the outermost level giving combinations of the ri variables.

# Examples

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## Basic Examples(2)

The vector of truth values for Or:

 In[1]:=
 Out[1]=

Convert to 1, 0 form:

 In[2]:=
 Out[2]=

2D truth table for Or:

 In[1]:=
 Out[1]//TableForm=