How is a windows 7 Home Premium operating system and any cpu multiprocessor compatible if the operating system will only recognize one processor? The other one does what in this relationship?
PCs with multiple processors (CPUs):
Commercial servers, workstations, and other high-end PCs may have more than one physical processor. Windows 7 Professional, Enterprise, and Ultimate allow for two physical processors, providing the best performance on these computers. Windows 7 Starter, Home Basic, and Home Premium will recognize only one physical processor.
All 32-bit versions of Windows 7 can support up to 32 processor cores, while 64‑bit versions can support up to 256 processor cores.
The OP is asking about multiprocessor systems, not multicore systems. All versions of windows support multicore systems, but only the Professional and Ultimate versions support motherboards that have two CPU sockets and a CPU chip in both of them.