p||(q&&r)
p||(q&&r) 
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P v Q is true if P is true or Q is true
p --> qmodus tollensIf conditional statement if not p then not q
!p --> !qnegationreverses the truth value of a given statement.
~propositiona declarative sentence that is either true or false (but not both)truth tablea table that shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it is constructed.
Enter Logic Expression
Evaluate the expression p||(q&&r)
This can also be written as P ∨ (Q ∧ R)
Evaluate scenarios
Since we have 3 letters T or F
we have 23 = 8 possible scenarios
p||(q&&r) Truth Table
| P | Q | R | P ∨ (Q ∧ R) |
|---|---|---|---|
| T | T | T | T |
| T | T | F | T |
| T | F | T | T |
| T | F | F | T |
| F | T | T | T |
| F | T | F | F |
| F | F | T | F |
| F | F | F | F |
| P | Q | R | P ∨ (Q ∧ R) |
|---|---|---|---|
| T | T | T | T |
| T | T | F | T |
| T | F | T | T |
| T | F | F | T |
| F | T | T | T |
| F | T | F | F |
| F | F | T | F |
| F | F | F | F |
How does the Truth Tables Calculator work?
Free Truth Tables Calculator - Sets up a truth table based on a logical statement of 1, 2 or 3 letters with statements such as propositions, equivalence, conjunction, disjunction, negation. Includes modus ponens.
This calculator has 1 input.
What 2 formulas are used for the Truth Tables Calculator?
!(!p) = pP v Q is true if P is true or Q is true
For more math formulas, check out our Formula Dossier
What 8 concepts are covered in the Truth Tables Calculator?
conjunctiona word used to connect clauses or sentences or to coordinate words in the same clausedisjunctiona binary connective classically interpreted as a truth function the output of which is true if at least one of the input sentences (disjuncts) is true, and false otherwiseequivalencethe state or property of being equivalent.modus ponensIf conditional statement if p then qp --> qmodus tollensIf conditional statement if not p then not q
!p --> !qnegationreverses the truth value of a given statement.
~propositiona declarative sentence that is either true or false (but not both)truth tablea table that shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it is constructed.
Example calculations for the Truth Tables Calculator
Truth Tables Calculator Video
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