A multiprocessing system and method for multiprocessing disclosed. A pair of processors (10,11) are provided, and each are connected to a central memory (12) through a plurality of memory reference ports. The processors are further each connected to the plurality of shared registers (50) which may be directly addressed by either processor at rates commensurate with intra-processor operation. The shared registers include registers for holding scalar and address information and registers for holding information to be used in coordinating the transfer of information through the shared registers. A multiport memory is provided and includes a conflict resolution circuit (290) which senses and prioritizes conflicting references to the central memory between CPU (20). Each CPU is interfaced with the central memory through three ports, with each of the ports handling different ones of several different types of memory references which may be made. At least one t/0 port is provided to be shared by the processors in transferring information between the central memory and peripheral storage devices. A vector register design is also disclosed for use in vector processing computers, and provides for at least two independently addressable memories for vector data for delivery to or acceptance from a functional unit. The method of multiprocessing permits multitasking in the multiprocessor, in which the shared registers allow independent tasks of different jobs or related tasks of a single job to be run concurrently, and facilitates multithreading of the operating system by permitting multiple critical code regions to be independently synchronized.