Optical encoders and methods of determining rotational movement are provided. The optical encoders include an encoder disk having a patterned signal track comprising a plurality of optically detectable elements disposed on a periphery of the encoder disk, wherein each optically detectable element is associated with a bit in a binary sequence, wherein each bit has a predefined bit depth, a boundary dividing the patterned signal track into at least two sub-regions, wherein each sub-region comprises a subset of the optically detectable elements, at least one sensor arranged to detect an optical signal associated with at least one optically detectable element, and a controller in communication with the at least one sensor, the controller configured to determine an angular position of the encoder disk, wherein the controller determines the angular position based on a detected binary sequence, a detected sub-region, and a look-up-table.