3 Variable Truth Table Generator

Welcome to the 3‑Variable Truth Table Generator, ideal for students, educators, developers, and engineers, this tool allows you to instantly generate a full 8‑row truth table for any logical expression involving three variables (A, B, and C). It’s perfect for learning Boolean logic, building digital circuits, or debugging complex conditions. Try this online truth table generator to simplify any Boolean expression.

A 3‑variable truth table explores all possible binary combinations of inputs (A, B, C), totaling 8 rows (2³). Each row shows the expression’s result, offering a visual and accurate way to understand how logical operators function across all scenarios — a core concept in Boolean algebra and digital logic design.

• Full 8‑Row Coverage: Automatically enumerates every (A, B, C) combination.
• Robust Operator Support: Includes NOT (¬, ~, !), AND (∧, &, &&), OR (∨, |, ||), XOR (⊕), IMPLIES (→, =>), BICONDITIONAL (↔), NAND, NOR.
• Syntax Validation: Real-time alerts for missing symbols or unmatched parentheses.
• Detailed Breakdown: Optional columns display intermediate sub-expressions for clarity.
• Quick Export: Copy results or download as CSV/text for documentation or spreadsheets.
• Responsive Design: Fully functional on desktops, tablets, and smartphones.

1. Enter Your Expression
   Examples: (A ∧ B) → C, A ^ B ^ C, !A & (B | C)
2. Generate the Table
   Click “Generate” to compute the results for all 8 input combinations in real time.
3. Review & Export
   View outputs like true, false, tautologies, or contradictions. Copy or export your truth table for further use.

• Learn Boolean Logic
  Visualize how expressions evaluate under each input scenario — an educational staple in logic courses.
• Circuit Design
  Validate digital circuits or logic gate combinations before building them.
• Expression Testing
  Perfect for debugging conditional logic in software or validating logical equivalence.
• Homework & Teaching
  A clear, shareable tool for assignments, projects, or classroom demonstrations.

1. How many rows are in a 3‑variable truth table?

Exactly 8 rows, covering all combinations of A, B, and C (2³ = 8).

2. What operators are supported?

Full support for NOT, AND, OR, XOR, IMPLIES, BICONDITIONAL, NAND, NOR, and parentheses.
{NOTNOTNOT: ¬, ~, ! — ANDANDAND: ∧, &, && — OROROR: ∨, |, || — IMPLIESIMPLIESIMPLIES: →, => — BICONDBICONDBICOND: ↔ — XORXORXOR: ⊕}.

3. What if I make a syntax error?

You’ll receive an instant alert pinpointing the problem (e.g., missing symbol or parentheses).

4. Is this tool free?

Absolutely! No sign-up required — just go, input, and generate.

• 4 Variable and 5 Variable
• 2 Variable Truth Table
• Boolean Expression
• For Logical Equivalence & Validity
• N-Variable
• Multi-Expression
• Half Adder & Full Adder
• Logic Circuit Simulator