ZeroServer.tools

Gray Code Converter

Convert between binary, Gray code, and decimal. Gray code changes only one bit between consecutive values.

Input

Output

1111

Reference table (0–15)

Decimal	Binary	Gray Code
0	0000	0
1	0001	1
2	0010	11
3	0011	10
4	0100	110
5	0101	111
6	0110	101
7	0111	100
8	1000	1100
9	1001	1101
10	1010	1111
11	1011	1110
12	1100	1010
13	1101	1011
14	1110	1001
15	1111	1000

What is Gray code?

Gray code (reflected binary code) is a binary numeral system where consecutive values differ by exactly one bit. This property makes it valuable in digital circuits, rotary encoders, and error correction, because single-bit transitions prevent transient errors during state changes. The conversion from binary to Gray code is: G[0] = B[0] and G[i] = B[i−1] XOR B[i].

Private & free — this tool runs entirely in your browser.