Wolfgang's Space
The Eye

Bit Resolution - Rotation

For storing a 2D rotation as a bit sequence, the bit depth determines the angular resolution of the rotation.

The forumula 360 / 2 ^ bitDepth gives the angular resolution in degrees;
The finest turn possible for a given bit depth.

Bit DepthResolutionSteps
1 bit180°2
2 bits90°4
3 bits45°8
4 bits22.5°16
5 bits11.25°32
6 bits5.625°64
7 bits2.8125°128
8 bits1.40625°256
10 bits0.3515625°512
12 bits0.0878906…°4096
14 bits0.0219727…°16384

Notes

The above example works best on touchscreens just for zooming in and looking closer.