An encoder having a first array of n photodetectors and a code strip imaging system where n>2 is disclosed. Each photodetector is characterized by a width d. The code strip imaging system generates an image of a code strip on the first array. The image includes alternating dark and light stripes of width D. The dark stripes have a lower luminosity than the white stripes. The widths of the photodetectors and stripes in the image are chosen such that nd=(n−1)D, the code strip image moving in a first direction with respect to the first array, wherein the distances d and D are measured in a direction parallel to the first direction. Detector circuits convert the outputs from the photodetectors to logic signals that define a state for the encoder that repetitively cycles through 2n values when the code strip image moves a distance of 2D.