Boolean Function Truth Table Generator Calculator

Truth Table Generator Form

Use operators like AND, OR, NOT, XOR, NAND, NOR, and XNOR. Symbols such as &&, ||, !, ~, &, |, +, *, and ^ also work.

Example Data Table

Sample expression: A AND (B OR NOT C)

Row	A	B	C	F
0	0	0	0	0
1	0	0	1	0
2	0	1	0	0
3	0	1	1	0
4	1	0	0	1
5	1	0	1	0
6	1	1	0	1
7	1	1	1	1

Formula Used

A truth table with n variables contains 2ⁿ rows.

For each row, the generator substitutes every variable with 0 or 1, then evaluates the boolean function using operator precedence.

NOT A = ¬A A AND B = A ∧ B A OR B = A ∨ B A XOR B = A ⊕ B A NAND B = ¬(A ∧ B) A NOR B = ¬(A ∨ B) A XNOR B = ¬(A ⊕ B)

Evaluation Order

Parentheses are evaluated first.
NOT is applied before binary operators.
AND and NAND are checked next.
XOR and XNOR follow afterward.
OR and NOR are evaluated last.

How to Use This Calculator

Enter a boolean expression in the expression field.
Optionally list variables in your preferred column order.
Choose display symbols for true and false values.
Set an output label such as F, Q, or OUT.
Click Generate Truth Table.
Review the summary, Plotly graph, and all table rows.
Use CSV or PDF export for download and sharing.

Frequently Asked Questions

1. What is a truth table?

A truth table lists every possible input combination for chosen variables. Each row shows whether the expression becomes true or false. It helps verify logic, compare equivalent formulas, and understand boolean behavior clearly.

2. How many rows will the table contain?

A truth table with n variables has 2ⁿ rows. Two variables create four rows. Three variables create eight rows. Every added independent variable doubles the number of possible combinations.

3. Can I leave the variable field empty?

Yes. If you leave the variable box blank, the generator detects variable names from the expression automatically. Enter variables manually only when you want a custom column order.

4. Which operators does this generator support?

It supports AND, OR, NOT, XOR, NAND, NOR, and XNOR. Common symbols also work, including &&, ||, !, ~, &, |, +, *, and ^, plus parentheses.

5. Why does my expression show an error?

Errors usually come from unmatched parentheses, missing operators, unsupported characters, or missing variable names. Rewrite the logic with clear operators and balanced brackets, then try again.

6. What are minterms and maxterms?

Minterms are row indexes where the output is true. Maxterms are row indexes where the output is false. They help describe canonical SOP and POS forms.

7. Can I export the generated table?

Yes. After creating the table, use the CSV button for spreadsheet-friendly data or the PDF button for printable sharing. The export includes all visible rows and columns.

8. Why do some output patterns repeat?

Repeating patterns happen when unused variables are included or when part of the expression dominates the result. Example: A OR 1 always becomes true, no matter what other inputs are.