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Logic Truth Table Calculator — result sheet
Evaluate a selected two-input Boolean connective for a chosen row and display the complete truth table for AND, OR, XOR, NAND, NOR, XNOR, or implication.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Evaluate the selected connective for all four ordered pairs (True,True), (True,False), (False,True), and (False,False); implication is false only when A is true and B is false.
A truth table enumerates every possible truth-value combination instead of testing only the row currently selected. The row result and the full table are shown together so a learner can see both the local evaluation and the connective's rule.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Logical connective — 7 choices
- Input A — 2 choices
- Input B — 2 choices
Worked example
| Input | Value |
|---|---|
| Logical connective | and |
| Input A | true |
| Input B | false |
For A = True and B = False, AND is False; the complete AND table has only the True/True row as True.
Assumptions and limits
- The calculator uses classical two-valued logic with exactly True and False inputs.
- XOR means exactly one input is true; XNOR means both inputs have the same value.
- Implication is the material implication A → B, not a causal or conversational claim.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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