Base Converter (Binary, Hex, Octal)

Programmers use base conversion daily to read memory addresses in hex, inspect bit flags in binary, decode file permissions in octal, and parse encoded identifiers. For example, decimal 255 is binary 11111111, octal 377, and hex FF, all the same value written in different bases.

Binary uses 2 symbols (0-1), octal uses 8 (0-7), decimal uses 10 (0-9), and hexadecimal uses 16 (0-9 plus A-F). A higher base packs more information per character: the 8-bit value 11111111 in binary is just FF in hex, which is why hex is the preferred shorthand for bytes and memory addresses.

Two hex digits represent exactly one byte (values 0-255), so a 24-bit RGB color fits in six characters (like #1A2B3C) and a 32-bit address fits in eight. That compactness makes hex easier to read and less error-prone than a long string of binary digits.

Yes. The converter uses JavaScript BigInt internally, so 64-bit integers, 16-digit hex values, and even larger inputs convert without precision loss. Standard floating-point arithmetic loses accuracy above 2^53.

This calculator's base32 uses the positional number system with 32 symbols (digits 0-9 then letters A-V), which is the standard mathematical base-32 representation. It differs from RFC 4648 base32 (the A-Z plus 2-7 alphabet used for TOTP secrets and Onion addresses), so check which encoding a specific protocol expects before using the output directly.