A computing device including a logic track including two logic-track magnetic domains separated by a logic-track domain wall, an input track arranged crossing the logic track at a first position of the logic track, and an output track arranged crossing the logic track at a second position of the logic track near the logic-track domain wall. The input track includes at least one input-track magnetic domain, and each of the at least one input-track magnetic domain includes at least one input-track storage unit configured to store binary 0 or 1. The output track includes at least one output-track magnetic domain, and each of the at least one output-track magnetic domain includes at least one output-track storage unit configured to store binary 0 or 1.