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How to Convert Number Bases
The Number Base Converter translates numbers between binary (base-2), octal (base-8), decimal (base-10), and hexadecimal (base-16).
- Enter a number in any supported base.
- View the equivalent value in all other bases simultaneously.
- Copy any result with one click.
Understanding Number Bases
A number base (radix) determines the set of digits used. Decimal uses 0–9, binary uses 0–1, octal uses 0–7, and hexadecimal uses 0–9 plus A–F. Computers operate in binary; hex is a compact representation (each hex digit = 4 bits). Octal is used in Unix file permissions. Understanding base conversion is fundamental to systems programming and debugging.
Why Use Our Base Converter?
- Four bases — binary, octal, decimal, and hex all shown simultaneously.
- Live conversion — results update as you type.
- Large number support — handles numbers beyond 32-bit range.
- No server — runs entirely in your browser.
Frequently Asked Questions
Why is hexadecimal useful?
Hexadecimal compactly represents binary data — each hex digit maps to exactly 4 bits. This makes it ideal for memory addresses, colour codes (#FF0000), and byte-level data inspection.
What are octal numbers used for?
Octal is primarily used for Unix file permissions (e.g., chmod 755). Each octal digit represents 3 permission bits (read/write/execute).
Can it handle very large numbers?
Yes. The converter uses JavaScript's BigInt for numbers beyond the 32-bit or 64-bit integer range.
Is my data private?
Yes. All conversion happens in your browser.