A magnetic domain wall memory apparatus with write/read capability includes a plurality of coplanar shift register structures each comprising an elongated track formed from a ferromagnetic material having a plurality of magnetic domains therein, the shift register structures further having a plurality of discontinuities therein to facilitate domain wall location; a magnetic read element associated with each of the shift register structures; and a magnetic write element associated with each of the shift register structures, the magnetic write element further comprising a write wire having a constriction therein, the constriction located at a point corresponding to the location of the plurality of discontinuities in the associated shift register structure.