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Truth Table Generator

Generate truth tables for logical expressions and boolean operations.

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pqp AND q
FFF
FTF
TFF
TTT
Contingency (sometimes true)

About Truth Table Generator

Generate complete truth tables for any boolean or propositional logic expression. Enter expressions using AND, OR, NOT, XOR, NAND, NOR, and XNOR operators and instantly see the truth value for every possible combination of inputs. Essential for computer science, digital logic design, and discrete mathematics courses.

How to Use Truth Table Generator

  1. 1

    Step 1

    Enter a boolean expression using variables (p, q, r) and operators (AND, OR, NOT, XOR, etc.).

  2. 2

    Step 2

    Click Generate to produce the complete truth table showing all possible input combinations.

  3. 3

    Step 3

    Analyze the output column to determine if the expression is a tautology, contradiction, or contingency.

Common Use Cases

  • Computer science students learning propositional logic and boolean algebra
  • Digital electronics students designing and verifying logic gate circuits
  • Discrete mathematics courses covering logical equivalences and proofs
  • Programmers verifying complex boolean conditions in code

Frequently Asked Questions

What logic operators does the generator support?
The generator supports AND (∧), OR (∨), NOT (¬), XOR (⊕), NAND, NOR, XNOR, and implication (→), covering all standard propositional logic operators.
How many variables can I use in an expression?
You can use 2, 3, or 4 variables in a single expression. With 4 variables, the truth table has 16 rows (2⁴ combinations).
Can I use this for digital logic circuit design?
Yes. Truth tables are fundamental to digital logic design. You can use the output to identify boolean simplifications or implement logic circuits.

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