Math

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Truth Table Calculator.

Generate a two-variable truth table for a basic logical operator.

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01

Set your values

Results update as you type.

Operator: and

Operator

and
Rows: [{"a":0,"b":0,"result":0},{"a":0,"b":1,"result":0},{"a":1,"b":0,"result":0},{"a":1,"b":1,"result":1}]

Rows

[{"a":0,"b":0,"result":0},{"a":0,"b":1,"result":0},{"a":1,"b":0,"result":0},{"a":1,"b":1,"result":1}]

Results update automatically as you type.

Use Cases

Verify logical expressions

Quickly check the output of a logical operator for all input combinations, useful for debugging or learning logic gates.

Example: Check the truth table for XOR to see when the output is true.

Educational tool for logic

Students and teachers can use the calculator to visualize how different operators behave, aiding in understanding Boolean algebra.

Example: Generate a truth table for NAND to see its negation of AND.

Frequently Asked Questions

What is a truth table?
A truth table lists all possible combinations of truth values (true/false) for logical variables and shows the result of a logical operation for each combination. This calculator generates these tables instantly for the selected operator.
Which logical operators does this calculator support?
The calculator supports common logical operators such as AND, OR, NOT, NAND, NOR, XOR, XNOR, and implications. Select the operator from the dropdown to generate the corresponding truth table.
How does the calculator determine the truth table?
The calculator uses deterministic formulas based on the selected operator. It evaluates all possible input combinations (true/false) and computes the output using the logical definition of the operator, ensuring accurate and consistent results.

Tips & Common Mistakes

Tips

  • Select the operator that matches your logical expression to get the correct truth table.
  • Use the truth table to compare the outputs of different operators side by side.
  • Remember that NOT is a unary operator, so its truth table will have only one input variable.
  • For binary operators, the table will have four rows representing all combinations of two inputs.

Common Mistakes to Avoid

  • Confusing the order of inputs: ensure you know which variable is A and which is B when reading the table.
  • Assuming that all operators have the same number of rows: NOT has 2 rows, while binary operators have 4.
  • Forgetting that implication (→) is false only when the antecedent is true and the consequent is false.

Last updated: August 13, 2026