Truth Table Generator
Generate truth tables for logical expressions. Support for AND, OR, NOT, XOR, NAND, NOR operators with step-by-step evaluation.
Enter an expression and click Generate
Supports: AND, OR, NOT, XOR, NAND, NOR, IMPLIES
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What is Truth Table Generator?
Truth Table Generator is a free online tool that creates truth tables for logical (Boolean) expressions. It evaluates all possible combinations of input values and shows the result for each combination, making it essential for studying logic, digital circuits, and programming.
The generator supports standard logical operators including AND, OR, NOT, XOR, NAND, NOR, and IMPLIES. Simply enter your expression using variables (A, B, C, etc.) and operators, and the tool instantly generates a complete truth table with customizable output options.
How to Use Truth Table Generator?
- Enter Your Expression - Type a logical expression like 'A AND B' or '(A OR B) AND NOT C' in the input field
- Use Quick Insert - Click operator buttons (AND, OR, NOT, XOR) and variable buttons (A, B, C) for faster input
- Choose Output Format - Select T/F, 1/0, true/false, or Yes/No display style
- Select Columns - Show all columns, result only, or include sub-expressions
- Filter Results - View all rows, or filter to show only True or False results
- Click Generate - The complete truth table appears instantly
- Export - Copy the table, download as CSV, print, or share via WhatsApp
Supported Logical Operators
The generator supports these logical operators:
- AND (&&, &) - True only when both operands are true
- OR (||, |) - True when at least one operand is true
- NOT (!, ~) - Inverts the truth value
- XOR (^) - True when operands are different (exclusive or)
- NAND - NOT AND, false only when both are true
- NOR - NOT OR, true only when both are false
- IMPLIES (->) - False only when true implies false
Use parentheses to control operator precedence: (A AND B) OR C
Output Format Options
Customize how truth values are displayed:
- T / F - Traditional truth table notation (default)
- 1 / 0 - Binary format, ideal for digital logic and programming
- true / false - Lowercase boolean format used in most programming languages
- Yes / No - Human-readable format for non-technical presentations
The format applies to all values in the table, including variables and the result column. Your chosen format is also used when copying, downloading, or sharing the table.
Tips for Writing Expressions
Get accurate results with these tips:
- Use clear variable names - Single letters A through F work best
- Add parentheses for clarity - (A AND B) OR C is clearer than A AND B OR C
- Check operator precedence - NOT binds tightest, then AND, then OR, then IMPLIES
- Use the Quick Insert buttons - Faster and prevents typos
- Try the Examples - Click example expressions to see how they work
- Filter results - Use 'True Results Only' to find satisfying assignments
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