Binary converter
Convert with the free Binary Converter on CalculatorX. Exact factors, formulas, worked examples, and a conversion chart. Runs locally in your browser.
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.
Binary → decimal / hex / octal
Binary → decimal / hex / octal
Binary → text
Binary → text
Binary converter specification
Version 1.1.0 · Engine tested
- Engine tested 2 published cases
- Named expert review Not performed
- Calculation version 1.1.0
- Definition
- Convert binary to text (ASCII), decimal, hexadecimal, and octal. Positional base-2 methods, grouping shortcuts, examples, and related tools.
- What it calculates
- Convert binary to text (ASCII), decimal, hexadecimal, and octal. Positional base-2 methods, grouping shortcuts, examples, and related tools.
- Inputs
- Values required by the selected conversion mode
- Outputs
- Converted result in the target unit or format
- Formula
decimal = Σ dᵢ · 2ⁱ (i from 0 at the right)- Quick binary table
Binary Dec Oct Hex ASCII (if byte) 01000001 65 101 41 A 01100001 97 141 61 a 00110000 48 60 30 0 00100000 32 40 20 Space - Assumptions
- Conversion runs locally in the browser; values are not uploaded.
- Uses the formulas documented on this page.
- Units
- Formula
- Boundary conditions
- Empty or invalid input yields no valid result.
- Out-of-range values may be rejected by the tool runtime.
- Example
- Binary → decimal / hex / octal → octal: 001 010 110 → 126₈
- Validation cases
- Binary → decimal / hex / octal → octal: 001 010 110 → 126₈
- Binary → text → "Hi"
- 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 Binary converter update locally in your browser.
Related tools
Frequently asked questions
Key distinctions behind the conversion.
How do you convert using Binary converter?
Use decimal = Σ dᵢ · 2ⁱ (i from 0 at the right). Example: Binary → decimal / hex / octal → octal: 001 010 110 → 126₈.
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.