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

Expression:

If you have a set of expressions, comma-separate them.

Ordering:

Leave empty for default ordering or specify variables like p,r,q (comma-separated).

Full table?

Binary numbers?

False values first?

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Your Input

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

Answer

$$$p$$$	$$$q$$$	$$$r$$$	$$$\left(p \oplus q\right) \vee \left(\neg p \wedge r\right)$$$
True	True	True	False
True	True	False	False
True	False	True	True
True	False	False	True
False	True	True	True
False	True	False	True
False	False	True	True
False	False	False	False

Truth Table Calculator

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