Gray code (reflected binary code) is a binary numeral system where two successive values differ in only one bit. This reduces transition errors and is commonly used in rotary encoders and digital electronics.

How do you convert binary to Gray code?

A common method is Gray = Binary XOR (Binary shifted right by 1). In bit form: the MSB stays the same, and each remaining Gray bit equals the XOR of two adjacent binary bits.

XOR (exclusive OR) outputs 1 when the two input bits are different, and 0 when they are the same: 0 XOR 0 = 0, 0 XOR 1 = 1, 1 XOR 0 = 1, 1 XOR 1 = 0.

Can Gray code be converted back to binary?

Yes. Gray-to-binary conversion is also straightforward and can be done bit by bit using XOR with the previously recovered binary bit.

Binary to Gray Code Converter - Convert Binary to Gray Code Online

XOR Truth Table (Used in Conversion)

A XOR B

Binary number: