Systems with non-volatile memory bit sequence program control

Systems including a bit sequence program controller to program in sequence non-volatile memory cells in an array of programmable non-volatile memory cells. The bit sequence program controller determines the bits that require programming by comparing the bits of the program word with an erased logical state of the array of programmable non-volatile memory cells. The bit sequence program controller further indicates which nonvolatile memory cells in a word of non-volatile memory cells in the array of non-volatile memory cells require programming to match the program word. The bit sequence program controller counts the number of the bits that require programming in the program word by counting the number of bits of the program word that are not in an erased logical state to determine when the programming should be completed.