A memory system comprises a nonvolatile memory comprising a memory block having multiple pages, and a controller configured to control the nonvolatile memory to store data in the memory block according to a command and logical address received from an external source. The controller is configured to determine whether the logical address is currently mapped to a bad page of the memory block by referring to a bad page map, and as a consequence of determining that the logical address corresponds to the bad page, remaps the logical address to a different page and stores dummy data in the bad page.