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Making a 9-bit absolute encoder Gray code wheel with Arduino Uno

A mechatronics engineering student plans to build a 9-bit absolute encoder with an Arduino Uno, aiming to cover 360 degrees with one position per degree using Gray code. A 9-bit Gray code yields 512 states; he is unsure how to map these to 360 degrees and is also struggling to find a 3D model of a 9-bit Gray code wheel, so he is asking for help on Reddit r/robotics.

Part of the event: Student seeks help building a 9-bit Gray code encoder with Arduino Uno

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