Memory system for continuously mapping addresses of a memory module having defective locations

A memory system comprising:

• a memory module;
• a memory controller and a processing architecture in communication with the memory module, at least one of the memory controller and the processing architecture configured to map a continuous physical address to the memory module based on memory density information of the memory module, the memory density information indicating bad pages of the memory module;
• and
• wherein the memory module includes at least one memory device, the at least one memory device including at least one memory bank, and
• the memory module is configured to generate the memory density information based on a maximum number, the maximum number being a number of the bad pages associated with one of the at least one memory bank having a highest number of the bad pages among the at least one memory bank.