In a memory circuit having memory cells which are connected in series between a ground line PL and a bit line BL and in each case have a resistance memory element said element having a bipolar switching behavior having an anode electrode and a cathode electrode, and a drive transistor connected in parallel with the resistance memory element, the drive transistors of the memory cells in each case are connected to a word line in order to switch the drive transistor on and off in such a way that a current path is formed via the associated drive transistor in a non-activated state of a memory cell and a current path is formed via the associated resistance memory element in an activated state of a memory cell, a first changeover switch being arranged at one end and a second changeover switch at other ends of the series of memory cells in order alternately to produce a connection between the series-connected memory cells and the ground line and the bit line in a manner dependent on an applied address.