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Modular Addition Calculator — result sheet
Add two integers and return the least nonnegative remainder under a chosen modulus.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: The least nonnegative remainder of the sum a plus b under modulus m.
The calculator normalizes negative inputs as well as positive ones so the displayed residue is always in a consistent range.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- First integer — minimum -1000000000000; maximum 1000000000000
- Second integer — minimum -1000000000000; maximum 1000000000000
- Positive modulus — minimum 1; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| First integer | 17 |
| Second integer | 29 |
| Positive modulus | 12 |
(17+29) mod 12 =10.
Assumptions and limits
- Inputs are whole numbers and the modulus is positive.
- The returned representative is the least nonnegative residue.
- Modular fractions and noninteger moduli are not modeled.
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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