A data storage system having a non IC based memory and an IC based non-volatile memory for storing user data. In one example, the IC based non-volatile memory is implemented with MRAM. Examples of non IC based memory include e.g. hard disks, tape, and compact disks. In some examples, the IC based memory is utilized to store user data from an information device in order to increase the speed and/or the effective storage capacity of the data storage system. In some examples, a portion of a standard size block of user data can be stored on spaces of the non IC based memory that are deficient for storing a standard size block with the remaining portion being stored in IC based memory. Portions of a file of user data may be non-volatilely stored in the IC based memory in order to more quickly provide the file to an information device. For example, data of a file, that if stored in a location on the non IC based media would significantly increase the retrieval time of the file, can be stored in the IC based media.