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Binary to Octal Converter — result sheet
Convert a nonnegative binary integer into decimal, octal, and hexadecimal representations.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: decimal = Σ(bitᵢ × 2ⁱ); octal and hexadecimal are positional representations of the same integer.
The converter validates the binary digits, evaluates the integer exactly with JavaScript BigInt, then formats that same value in base 10, 8, and 16.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Binary integer — Enter only 0 and 1; spaces and an optional 0b prefix are accepted.
Worked example
| Input | Value |
|---|---|
| Binary integer | 110101 |
110101₂ = 53₁₀ = 65₈ = 35₁₆.
Assumptions and limits
- The input is a nonnegative integer with binary digits only, optionally prefixed by 0b and separated by spaces.
- Leading zeroes do not change the value and fractional binary points are not accepted in this tool.
- The exact integer path avoids floating-point rounding for long practical binary strings.
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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