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Truth Table Generator API

GET

Verify any boolean expression with a complete truth table.

Truth Table Generator creates complete truth tables for boolean expressions with support for AND, OR, NOT, XOR, NAND, and NOR operators.

Try it — live request, no key required

Request
GETapi.apiverve.com/v1/truthtable?expression=A%20AND%20B%20OR%20C
Query parameters
Verification
Format

No key required to try it. Get a key to use it in your app.

Example
{
  "status": "ok",
  "error": null,
  "data": {
    "expression": "A AND B OR C",
    "normalized": "A && B || C",
    "variables": [
      "A",
      "B",
      "C",
      "D",
      "N",
      "O",
      "R"
    ],
    "variableCount": 7,
    "rowCount": 128,
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  }
}

About the Truth Table Generator API

Truth Table Generator turns a boolean expression into its complete truth table. Write the expression with single-letter variables and operators in words or symbols, and get back one row for every combination of inputs with the result as 0 or 1. Model logic gates such as AND, OR, NOT, XOR, NAND and NOR, and check boolean algebra written as a plain expression.

It is used in computer science education to check homework and generate exercises, in digital logic design to confirm a circuit's expression before building it, and by developers who want to verify that two conditions really are equivalent. Expressions up to eight variables are supported, which is 256 rows.

The Free plan returns the original expression and every row of the table. Paid plans add the normalized form of the expression with standard operators, the list and count of variables found, the row count, and a ready-formatted ASCII table you can drop straight into a terminal, a chat message or plain-text documentation.

How it works

The expression is uppercased and tokenised, so a and b and A AND B are the same. Variables are single letters A to Z. Operators can be written as words (AND, OR, NOT, XOR, NAND, NOR) or symbols: &&, &, *, · and ∧ for AND; ||, |, + and ∨ for OR; !, ~ and ¬ for NOT; ^ and ⊕ for XOR; and a trailing apostrophe, as in A', for postfix NOT. Parentheses group terms and 0 and 1 are constants. Word operators are matched only as whole words, so their letters are never mistaken for variables. Characters the tokeniser does not recognise are skipped.

The tokens are parsed with standard precedence, from tightest to loosest: NOT, then AND and NAND, then XOR, then OR and NOR. An expression with no variables, more than eight distinct variables, unbalanced parentheses or a dangling operator returns a 400.

Variables are sorted alphabetically. Rows count up in binary from all zeros, with the first variable as the most significant bit, so rows always has 2^n entries in a predictable order. Each row's inputs maps variable names to 0 or 1 and result is the expression's value for that row.

normalized rewrites the expression with &&, ||, ! and ^, leaving NAND and NOR as words. asciiTable lays out the same data as a pipe-delimited table with one column per variable plus Result. On the Free plan normalized, variables, variableCount, rowCount and asciiTable are null; expression and rows are always returned.

What people use it for

Computer Science Education
Teach boolean logic and truth tables with interactive expression evaluation
Digital Logic Design
Verify logic gate combinations and circuit behavior for hardware design
Boolean Expression Verification
Test and validate complex boolean expressions programmatically
Programming Logic Testing
Debug and verify conditional logic in software applications

Ways to call it

One endpoint, many ways in — REST with JSON, XML, YAML and CSV, plus GraphQL and an MCP interface for AI agents.

JSON
Default REST response
XML
Markup format
YAML
Human-readable
CSV
Tabular export
Beta
GraphQL
Query language
New
MCP
For AI agents

Other ways to use Truth Table Generator

Same data, same APIVerve account, same credit balance — one key works on all of them.

Questions.

Common questions about the Truth Table Generator API.

Read the docs →
Which boolean operators can I include in an expression?
The API supports standard logic operators including AND, OR, NOT, XOR, NAND, and NOR. You can use uppercase letters from A through Z as variable names to construct simple or compound expressions.
Which plan fits 25,000 truth table evaluations a month?
The Starter plan covers this volume easily. Each evaluation uses 1 credit, so 25,000 calls consume 25,000 of Starter's 200,000 monthly credits, which works out to about $0.00015 per call or $0.15 per 1,000 calls. The Free plan includes 200 evaluations per month.
Can I get the preformatted ASCII table on the Free plan?
No. The ASCII text table is a premium field available only on paid plans. Upgrading to Starter or higher also unlocks the normalized expression string, the list of extracted variables, the variable count, and the total row count.
How does the API return the generated table rows?
Every call returns an array of rows detailing every binary input combination alongside the final calculated result. Each row contains an object mapping each variable to its current state (0 or 1) and a result field indicating the evaluated truth value.
How does the API normalize non-standard logic symbols?
Paid tiers return a normalized expression field where verbal operators like AND and OR are systematically translated into standard programming notation like && and ||. The raw expression string is always preserved in the response.

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