A method for programming a memory device, a memory device, and a memory system are provided. According to at least one such method, a first programming pass generates a plurality of first programming pulses to increase the threshold voltages of target memory cells to either a pre-program level or to the highest programmed threshold. A second programming pass applies a plurality of second programming pulses to the target memory cells to increase their threshold voltages only if they were programmed to the pre-program level. The target memory cells programmed to their respective target threshold levels during the first pass are not programmed further.