Truth Table Generator: Simplify Your Logical Expressions

How This Tool Works

You enter a logical expression. The tool shows you all possible outcomes. It creates a table of truth values for every variable combination.

You can use operators like && or ∧ for AND, || or ∨ for OR, ! or ¬ for NOT, -> or → for IMPLIES, <-> or ↔ for IFF, and ^ or ⊕ for XOR. You may use letters A to Z for variables. The tool ignores case.

How to Use This Tool

1. Type your expression in the input box. For example, you can enter (A && B) || !C -> D.

2. Click the "Generate Table" button.

3. The tool displays a table with all true and false combinations for your variables.

4. You also see a row that shows the expression outcome for each combination.

Input Field Details

The text box is where you type your logical expression. It accepts operators and variables in a clear manner. Shortcut buttons are provided to insert common operators.

Understanding the Output

The table has one column for each variable. It shows T for true and F for false. The final column shows the result of your expression for each set of values.

Below the table, you see statistics. They count how many combinations yield true or false. This helps you judge if your expression is always true, always false, or if it changes based on the input.

Limitations and Special Notes

The tool accepts up to 10 variables. It checks your expression for simple syntax errors like unbalanced parentheses. The expression gets converted to a standard format before evaluation.

If you see an error message, recheck your expression for missing operators or extra spaces.

Common Use Cases

• Students use it to check their homework on logical expressions.

• Instructors find it helpful for demonstrating logic in class.

• Engineers use it to test logic circuits and software conditions.

Wrap-Up

The Truth Table Generator is simple and clear. It gives instant feedback on your logic work. Try a few examples and see the results. It helps you check and learn logical ideas easily.