Decimal to Octal converter
Convert decimal (base 10) to octal (base 8). Use repeated division by 8 or binary 3-bit grouping. Examples and conversion table. Works offline-ready.
Enter values to convert.
Formulas
Core equations used by this converter.
How to use
Open the converter
Use the interactive panel at the top of the page.
Enter values
Fill in the required fields for this conversion.
Convert and read the result
Use Convert or let the result update automatically.
Example conversions
Common values with formula and result.
24₁₀` → octal
24₁₀` → octal
112₁₀` → octal
112₁₀` → octal
2048₁₀` → octal
2048₁₀` → octal
Decimal to Octal converter specification
Version 1.1.0 · Engine tested
- Engine tested 3 published cases
- Named expert review Not performed
- Calculation version 1.1.0
- Definition
- **Decimal (base 10)** — digits 0–9. **Octal (base 8)** — digits 0–7 only. Historically used in computing; still appears in Unix file-permission masks (e.g. `0755`).
- What it calculates
- Convert decimal (base 10) to octal (base 8). Use repeated division by 8 or binary 3-bit grouping. Examples and conversion table.
- Inputs
- Values required by the selected conversion mode
- Outputs
- Converted result in the target unit or format
- Formula
decimal = Σ dᵢ · 8ⁱ- Decimal to octal conversion table
Decimal Octal 0 0 1 1 7 7 8 10 9 11 10 12 15 17 16 20 24 30 64 100 100 144 255 377 - Assumptions
- Conversion runs locally in the browser; values are not uploaded.
- Uses the formulas documented on this page.
- Units
- Positional check (octal → decimal):
- Boundary conditions
- Empty or invalid input yields no valid result.
- Out-of-range values may be rejected by the tool runtime.
- Example
- 24₁₀` → octal → 30₈
- Validation cases
- 24₁₀` → octal → 30₈
- 112₁₀` → octal → 160₈
- 2048₁₀` → octal → 4000₈
- Sources
- CalculatorX converter runtime
- Standard unit / encoding definitions where applicable
- Calculation version
- 1.1.0
Background
Interpretation and common distinctions.
Use the converter tabs to switch direction when available. Results for Decimal to Octal converter update locally in your browser.
Related tools
Frequently asked questions
Key distinctions behind the conversion.
How do you convert using Decimal to Octal converter?
Use decimal = Σ dᵢ · 8ⁱ. Example: 24₁₀` → octal → 30₈.
Can I switch direction?
Open the related reverse converter listed under Related tools.
Does this run online or locally?
Calculation runs locally in your browser. Values are not uploaded.
How precise are the results?
Results follow the formulas on this page. Round to the precision your use case needs.