The Reflected Binary Gray Code Transform

Steve Whealton
Bridges: Mathematical Connections in Art, Music, and Science (2004)
Pages 149–156


The "Reflected Binary Gray Code" is a system of representing numbers using zeroes and ones. It is closely allied to the familiar binary system for representing numbers, also using zeroes and ones. It is easy to switch back and forth between one system and the other. This paper examines this "transform" that switches back and forth, and focuses especially upon the uses to which this transform can be put.