Abstract: The traditional computer system is modified by providing, in addition to a processor unit, a main memory and a cache memory buffer, remapping logic for remapping the cache memory buffer, and a plurality of registers for containing remapping information. With this environment the cache memory buffer is divided into segments, and the segments are one or more cache lines allocated to a task to form a partition, so as to make available (if a size is set above zero) of a shared partition and a group of private partitions. Registers include the functions of count registers which contain count information for the number of cache segments in a specific partition, a flag register, and two register which act as cache identification number registers. The flag register has bits acting as a flag, which bits include a non-real time flag which allows operation without the partition system, a private partition permitted flag, and a private partition selected flag.