Truth Table Calculator

This Truth Table Calculator generates logical operation results for 2 or 3 variables using various logical operators such as AND, OR, XOR, NAND, NOR, and IMPLIES based on user input.

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Using the Truth Table Calculator

This guide will walk you through the steps to effectively use the Truth Table Calculator. Follow the instructions below to generate truth table results based on logical operators and input variables.

Step 1: Select Number of Variables

Start by choosing the number of variables you wish to work with:

  • 2 Variables: Select this option if you want to perform calculations involving two variables, typically labeled as Variable A and Variable B.

  • 3 Variables: Select this option if you wish to include an additional variable, labeled as Variable C, in your logical operations.

Step 2: Choose a Logical Operator

Select the logical operator you wish to apply. The available operators are:

  • AND (∧): The output is true if all inputs are true.
  • OR (∨): The output is true if at least one input is true.
  • XOR (⊕): The output is true if only one of the inputs is true.
  • NAND (↑): The output is false only if all inputs are true, otherwise true.
  • NOR (↓): The output is true only if all inputs are false.
  • IMPLIES (→): The implication operator where the output is false if the first input is true and the second is false.

Step 3: Set Variable Values

For each variable, choose a truth value:

  • Variable A: Select ‘true’ or ‘false’.
  • Variable B: Similarly, choose ‘true’ or ‘false’.
  • Variable C: (If applicable) Choose ‘true’ or ‘false’. This step depends on the selection in Step 1.

Step 4: Obtain Results

Based on your inputs and selected operator, the calculator will provide the results for each logical operation:

  • AND Result: Displays the outcome of the logical AND operation on the inputs.
  • OR Result: Displays the result of the logical OR operation.
  • XOR Result: Shows the result of the logical XOR.
  • NAND Result: Displays the result of the NAND operation.
  • NOR Result: Shows the result of the NOR operation.
  • IMPLIES Result: Provides the result based on the implication logic between inputs.

Use the above instructions to explore different logical scenarios and analyze the results based on various inputs and operations.