Binary to Decimal Converter
Convert any binary number to decimal (base-10), octal and hexadecimal — with the positional value method shown step by step.
What Does This Tool Do?
Convert binary numbers to decimal, octal and hexadecimal. Shows the positional value method — each bit multiplied by its power of 2 — so you can learn and verify the conversion.
Key Features
3 Outputs
Decimal, octal and hex from one binary input.
Positional Steps
Each bit × 2^n shown clearly.
Live
Updates as you type.
Validates Input
Warns if non-binary characters are entered.
How to Use
- Type or paste a binary number (0s and 1s only).
- Decimal, octal and hex appear instantly.
- Read the positional value steps to learn the method.
Frequently Asked Questions
How do you convert binary to decimal?▾
Multiply each bit by 2 raised to its position (from right, starting at 0), then sum all values. E.g. 1101 = 1×8 + 1×4 + 0×2 + 1×1 = 13.
What is the largest binary number this handles?▾
JavaScript integers are safe up to 2^53 − 1, so binary strings up to 53 bits convert accurately.
How do I convert binary to hex?▾
Group binary digits in sets of 4 from the right, then convert each group to its hex digit. This tool does it automatically.
Complete Guide to Binary to Decimal Converter
When To Use This Tool
Use Binary to Decimal Converter whenever you need fast, accurate output without installing software. This tool is designed for speed, clarity, and repeatable results for day-to-day work.
Best Practices for Accurate Results
- Double-check the format of your input before running the tool.
- Test with a small sample first, then process larger data.
- Use Related Tools to verify, convert, or transform the output.
Why Users Prefer AdeDX
AdeDX tools are browser-based, free to use, and built to work across desktop and mobile devices. Most processing happens directly in your browser for fast performance and improved privacy.