A memory system that disperses memory addresses of strings of data throughout a memory is provided. The memory system includes a memory, a central processing unit (CPU) and an address randomizer. The memory is configured to store strings of data. The CPU is configured to direct the storing and retrieving of the strings of data from the memory at select memory addresses. The address randomizer is coupled between the CPU and the memory. Moreover, the address randomizer is configured to disburse the strings of data throughout locations of the memory by changing the select memory addresses directed by the CPU.