Convert Gray Code to Hex

In two logical stages. Stage one: Gray → standard binary. The MSB passes through unchanged; every subsequent bit is the XOR of the previous output bit and the current Gray bit. Stage two: read that binary as an unsigned integer and format it however you want (hex, decimal, or keep it as binary). Gray 1011 → binary 1101 → hex 0xd (decimal 13).

Because auto-detection is ambiguous. The string 1011 is a valid binary Gray code (4 bits, value 13 after decoding) AND a valid hex number (4113 decimal). Guessing based on length or characters would silently give wrong answers on ambiguous inputs. Picking explicitly means the tool always does what you expect.

It’s when you’ve compressed each nibble of Gray code bits into a hex digit for storage. 0xA represents the 4 Gray bits 1010; 0xDE represents the 8 bits 11011110. Set input mode to “Hex-packed Gray” and the tool unpacks the bits first, then runs the XOR decoder.

Yes. The decoder uses JavaScript’s native BigInt, so a 256-bit or 1,024-bit Gray code decodes to its exact decimal and hex – no precision loss at 2^53 like you’d get with regular Number. The bit-parallel algorithm (binary ^= binary >> mask) scales linearly in the number of set bits.

Yes. All processing happens in your browser’s JavaScript runtime – no bytes leave your machine. You can confirm this in the Network tab of DevTools: no requests fire during conversion. The tool also keeps working after you disconnect from the internet.

Only that line fails. The tool processes lines independently, so a stray character becomes one red row (“Line 3: invalid binary character ‘2’ at position 2”) while every other line still decodes. The stats line tells you exactly how many succeeded versus failed.

Yes – that’s one of the main use cases. Absolute rotary encoders and shaft-position sensors emit Gray code because only one bit flips between adjacent positions, preventing transient glitches during transitions. Paste the raw encoder bits or its hex-packed form here to recover the integer position in hex.

Hex is four times more compact than binary (each hex digit is 4 bits) and aligns naturally with byte boundaries. It’s the standard format for logging microcontroller registers, debugging encoder firmware, and embedding values in C/Rust/JS source (0xAF style). If you want a human number instead, switch the output to “Decimal”.

It controls the case of alphabetic hex digits only. Uppercase on produces 0xAF, off produces 0xaf. The 0x prefix is always lowercase. The toggle is cosmetic – the underlying value is identical either way.

Use a hex-to-Gray-code converter. The round trip is lossless: each Gray code maps to exactly one decoded value, and each decoded value re-encodes to exactly one Gray code. The encoder formula is gray = binary XOR (binary >> 1) – the inverse of what this tool applies.