A switching device is disclosed in which electric current through a rectification circuit, depending on whether a main switching element turns on or off, and thus electric current from the rectification circuit flows through whichever of first and second sub-switching elements, turns on. Each CAM cell is configured to generate an output indicating if a corresponding input bit and the bit stored in that CAM cell match. Upper and lower phase films are positioned on the upper and lower substrates, respectively, to transform polarized light from linear to circular.