A dynamic random access memory device is capable of converting from a full density memory device to a reduced density memory device. The reduced density memory device compensates for cell failures in a plurality of cell blocks, regardless of the location of the cell failures. The memory device includes a row address mapping fuse for selectively determining row address combinations capable of storing data bits. A row address mapping logic is coupled to the row address mapping fuse and is capable of routing data bits to the address combinations capable of storing data bits.