Last updated October 13, 2026 · Report an error
Binary, hexadecimal, and decimal numbers all represent the same underlying value using different counting systems — essential for programming, digital electronics, and debugging, but tedious to convert by hand.
This tool converts a number between binary, octal, decimal, and hexadecimal instantly, validating that your input actually contains valid digits for the base you selected.
How it works
Enter a value, choose the base it's currently in, and the base you want to convert it to. The tool validates your input against the selected base's digit set, then converts it.
- Enter value.
- Enter from base.
- Enter to base.
- Click Calculate to see your results.
Examples
Converting binary to decimal
Binary 1010 converts to decimal 10 — a common conversion when reading raw binary data.
Converting decimal to hexadecimal
Decimal 255 converts to hexadecimal FF — frequently seen in color codes and memory addresses.
Who should use it
- Converting binary data to a human-readable decimal or hex value.
- Converting a hex color code or memory address to decimal.
Industry applications
- Software development
- Digital electronics and computer science education
Advantages
- Supports all four common number bases used in programming.
- Validates input against the selected base before converting.
Limitations
- Can lose precision on extremely large numbers.
Common mistakes to avoid
- Entering digits that aren't valid for the selected source base (like "9" in a binary value).
- Assuming hexadecimal letters are case-sensitive — they aren't, for input.
Best practices
- Double-check which base your source value is actually in before converting, especially between octal and decimal.
Tips
- When working with color codes or memory addresses, hexadecimal is usually the most compact and readable representation.