I’ve read that, on a 32-bit system with 4GB system memory, 2GB is allocated to user mode and 2GB allocated to kernel mode. But, If I had a system with 512 MB of memory, would it be partitioned as 256 MB to user and 256 MB to kernel address space?
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You are confusing physical and virtual memory. 2GB is allocated to user/system, but it is virtual memory. It is even more correct to say that they are not rather allocated but they constitute an addressing space. Initially this space is not bound to physical memory at all. When application actually needs memory (first time is at start up) physical memory is allocated and some addresses from address space are mapped to it. When memory is allocated but not used long enough or PC is running out of physical memory data can be dumped in swap file, and stay there until requested. This mapping is transparent for application and it has no idea where data currently is: on chip or on HDD. So the address space is always splitted the same way.