Resistive memory devices, circuits and methods having read current limiting

A memory device, comprising: read circuits coupled to a plurality of memory elements programmable between at least two different resistance states, the read circuits generating output values based on resistance states of selected memory elements in a read operation; and current limit circuits that limit a current flow through each memory element to less than a program threshold current; wherein the program threshold current corresponds to a current that flows through a memory element being programmed to cause its resistance to change to a resistance between that of two different resistance states.