Enter Logic Expression
Evaluate the expression p&&q
This can also be written as P ∧ Q
Evaluate scenarios
Since we have 2 letters T or F
we have 22 = 4 possible scenarios
p&&q Truth Table
| P | Q | P ∧ Q |
|---|---|---|
| T | T | T |
| T | F | F |
| F | T | 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.
This calculator has 1 input.
What 2 formulas are used for the Truth Tables Calculator?
!(!p) = p
P v Q is true if P is true or Q is true
For more math formulas, check out our Formula Dossier
P 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?
- conjunction
- a word used to connect clauses or sentences or to coordinate words in the same clause
- disjunction
- a 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 otherwise
- equivalence
- the state or property of being equivalent.
- modus ponens
- If conditional statement if p then q
p --> q - modus tollens
- If conditional statement if not p then not q
!p --> !q - negation
- reverses the truth value of a given statement.
~ - proposition
- a declarative sentence that is either true or false (but not both)
- truth table
- a 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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