A system and method for a logic device is disclosed. A substrate is provided. Three nanotracks are disposed over the substrate and intersect in a central portion. Two nanotracks are disposed about a first axis and one nanotrack is disposed about a second axis perpendicular to the first axis. A ground pad is disposed in the central portion. Nanotrack along the second axis extend beyond the central portion to define an output portion. An input value is set by nucleating a skyrmion about a first end of the nanotracks. Presence of the skyrmion indicates a first value and absence indicates a second value. A charge current is passed in the substrate, along the first axis and the second axis to move the nucleated skyrmions towards the central portion. Presence of the skyrmion is sensed in the output portion and indicates a first value when skyrmion is present.