Free Online Tool

Gray Code

Convert between binary and Gray code representations.

Gray Code Converter

Convert between binary, decimal, and Gray code (reflected binary code)

Conversion Direction

Input Type

Enter Decimal Numbers

Gray Code Output

Example Values

Click any example to try it

0 1 2 3 4 5 6 7

First 8 numbers

Single number

0 1 3 7 15 31 63 127 255

Powers of 2 minus 1

How to Use Gray Code

Enter a value (text, decimal, or binary depending on the mode).
It is converted to Gray code, where consecutive values differ by exactly one bit.
Switch mode to convert Gray code back to binary/decimal.
Copy the result. The conversion runs in your browser.

Gray code keeps only one bit changing between adjacent numbers, which prevents glitches in rotary encoders and reduces errors when signals change.

Decimal 2 → Gray — input:

010 (binary of 2)

Output:

011

Decimal 3 → Gray — input:

011 (binary of 3)

Output:

010

Decimal 4 → Gray — input:

100 (binary of 4)

Output:

110

The first bit is copied; each following Gray bit is the XOR of two adjacent binary bits.