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Decimal to Octal Converter — result sheet
Convert a safe-range decimal integer to prefixed octal and binary notation while preserving negative values and showing the digit count.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For a nonnegative integer N, repeated division by 8 produces remainders that form the octal digits from right to left; equivalently N = Σ(dᵢ × 8ⁱ). A negative value keeps a leading minus sign outside the octal magnitude.
This converter treats octal as a positional representation of an integer. It displays an explicit 0o prefix, a binary cross-check, and the number of octal digits so a learner can inspect the representation instead of copying an unexplained string.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Decimal integer — base-10 integer; minimum -9007199254740991; maximum 9007199254740991
Worked example
| Input | Value |
|---|---|
| Decimal integer | 214 |
214 in base 10 is 0o326 in base 8 and 11010110 in base 2; the octal magnitude has three digits.
Assumptions and limits
- The input is a finite whole number within JavaScript’s safe integer range.
- Octal digits are 0 through 7 and the output uses a 0o prefix.
- The sign is displayed separately from the magnitude digits.
- The binary line is a representation cross-check, not a machine word encoding.
- Leading zeroes are not added to create a fixed-width field.
- Fractions, floating-point bit layouts, and two’s-complement encodings are outside the model.
- The conversion preserves the mathematical integer exactly within the accepted range.
- A programming language may use a different literal syntax even when the numeric value is the same.
- The digit count describes the absolute octal magnitude.
- The result does not validate a program, file permission, or hardware register context.
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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