Truth Table Calculator

The calculator will generate the truth table for the given logic formula/expression. Supports all basic logic operators: negation (complement), and (conjunction), or (disjunction), nand (Sheffer stroke), nor (Peirce's arrow), xor (exclusive disjunction), implication, converse of implication, nonimplication (abjunction), converse nonimplication, xnor (exclusive nor, equivalence, biconditional), tautology (T), and contradiction (F).

Related calculator: Boolean Algebra Calculator

If you have a set of expressions, comma-separate them.
Leave empty for default ordering or specify variables like p,r,q (comma-separated).

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

Find the truth table for $$$\left(\left(\left(p \oplus q\right) \wedge v\right) \wedge \left(\neg p\right)\right) \wedge r$$$.

Answer

$$$p$$$$$$q$$$$$$v$$$$$$r$$$$$$\left(\left(\left(p \oplus q\right) \wedge v\right) \wedge \left(\neg p\right)\right) \wedge r$$$
FalseFalseFalseFalseFalse
FalseFalseFalseTrueFalse
FalseFalseTrueFalseFalse
FalseFalseTrueTrueFalse
FalseTrueFalseFalseFalse
FalseTrueFalseTrueFalse
FalseTrueTrueFalseFalse
FalseTrueTrueTrueTrue
TrueFalseFalseFalseFalse
TrueFalseFalseTrueFalse
TrueFalseTrueFalseFalse
TrueFalseTrueTrueFalse
TrueTrueFalseFalseFalse
TrueTrueFalseTrueFalse
TrueTrueTrueFalseFalse
TrueTrueTrueTrueFalse