A cache system having cache sets, registers associated with the cache sets respectively, and a logic circuit coupled to a processor to control the cache sets according to the registers. When a connection to an address bus of the system receives a memory address from the processor, the logic circuit can be configured to: generate an extended tag from at least the memory address; and determine whether the generated extended tag matches with a first extended tag for a first cache set or a second extended tag for a second cache set of the system. Also, the logic circuit can also be configured to implement a command received from the processor via the first cache set in response to the generated extended tag matching with the first extended tag and via the second cache set in response to the generated extended tag matching with the second extended tag.