A computer system architecture in which each processor has its own memory, strategically distributed along the stages of an execution pipeline of the processor, to provide fast access to often used information, such as the contents of the address and data registers, the program counter, etc. Memory storage is strategically located in close physical proximity to a stage in an execution pipeline at which memory is commonly or repeatedly accessed. Coupled to the pipeline at various stages are small memory cells for storing information that is consistently and repeatedly requested at that stage in the execution pipeline. The speed of the execution pipeline in a processor is critical to overall performance of the processor and the computer architecture of the present invention as a whole. To that end, the clock cycle time at which the pipeline is operated is increased as much as the operating characteristics of the logic and associated circuitry will allow. Generally, access times for memory are slower than the clock cycle times at which the pipeline logic can operate. Thus, there is a point of diminishing return at which increasing the clock cycle time of the pipeline is less advantageous if the pipeline must wait for memory access to complete. Thus, there is provided two sets of strategically located memory cells distributed along the execution pipeline of a processor, and alternately accesses the memory cells.