Binary Hex Decimal Converter - Base 2, 8, 10 & 16 Tool

Divide 255 by 16: 255 ÷ 16 = 15 remainder 15. Both remainders are F in hex, so 255 = 0xFF. In binary that is 1111 1111 - eight set bits, the maximum unsigned byte. This converter shows all bases simultaneously so you can verify firmware constants and color channel values.

Eight consecutive 1-bits equal 2⁸ − 1 = 255 decimal and 0xFF hexadecimal. It is the top of an 8-bit unsigned integer range (0-255). Network masks, RGB channels, and bitmask flags often use this value. The tool groups binary in nibbles (4 bits) for easier reading.

Map each hex digit to four binary bits: F = 1111, A = 1010, 5 = 0101. Concatenate without spaces first, then group by nibbles. 0xA5 becomes 1010 0101. This calculator accepts 0x-prefixed hex and outputs spaced binary automatically - useful when debugging hardware registers or opcode dumps.

Binary allows 0-1. Octal allows 0-7. Decimal allows 0-9. Hexadecimal allows 0-9 and A-F (case insensitive). Invalid characters trigger an inline error instead of silent wrong answers. Prefixes 0b, 0o, and 0x are stripped before validation, matching JavaScript and Rust literal syntax.

Hardware calculator apps excel at chained arithmetic across bases. This web converter is better for quick copy-paste during code review, documentation, and classroom work - all four outputs appear at once with prefixed octal and hex strings ready for source code.

Each hex digit represents exactly four binary bits (one nibble). Grouping binary as 1111 1111 mirrors 0xFF and makes manual cross-checking faster. Assembly listings, networking cheat sheets, and hardware datasheets use the same nibble convention.