A memory cell includes an input coupled to a read line, an output coupled to a circuit ground, a bi-polar memristor, and at least one address switch coupled to an address line to select the memory cell. A memory includes the bi-polar memristor and a one-way current conducting device, wherein the one-way current conducting device is positioned between the memristor cell output and the circuit ground, or between the read line and the memristor cell input.