Implementing logic with memristors may include circuitry with at least three memristors and a bias resistor in a logic cell. One of the at least three memristors is an output memristor within the logic cell and the other memristors of the at least three memristors are input memristors. Each of the at least three memristors and the bias resistor are electrically connected to voltage sources wherein each voltage applied to each of the at least three memristors and the bias resistor and resistance states of the at least three memristors determine a resistance state of the output memristor.