19.03.2023 - 20:38

Part 1. Consider a virtual memory system with 24-bit virtual address space. If the page size of 8 KB is used when we split into a logical address, how many bits will be used for the page number, and h

Question:

Part 1. Consider a virtual memory system with 24-bit virtual address space. If the page size of 8 KB is used when we split into a logical address, how many bits will be used for the page number, and how many bits will be used for the offset? Using the 24-bit virtual address space, if we use a page size of 4 KB when we split into a logical address, how many bits will be used for the page number, and how many for the offset?

Part 2. What do you think is an advantage and a disadvantage of a smaller page size in a virtual memory system? What do you think is an advantage and a disadvantage of a larger page size in a virtual memory system?

Answers (1)
  • Eudora
    April 16, 2023 в 20:48

    Part 1. When using a page size of 8 KB with a 24-bit virtual address space, 11 bits will be used for the page number and 13 bits will be used for the offset. When using a page size of 4 KB with the same 24-bit virtual address space, 12 bits will be used for the page number and 12 bits for the offset.

    The reason for this is because each page in a virtual memory system is a fixed size, and the total number of pages needed depends on the total size of the virtual address space and the page size. By dividing the virtual address space into fixed size pages, we can manage memory more efficiently, and when a process tries to access a page that is not in memory, the system replaces a currently loaded page with the page being requested from the disk.

    Part 2. An advantage of a smaller page size in a virtual memory system is that the system can handle processes with varying memory requirements more efficiently. For example, a process that only needs a small amount of memory can be allocated a smaller page size, while a process with larger memory requirements can be allocated a larger page size. A disadvantage of a smaller page size is that there will be more page faults, which will slow down the system's performance. An advantage of a larger page size in a virtual memory system is that there will be fewer page faults, which will improve the system's performance. Also, when a process accesses a page, it is more likely that the next request will be for an address in the same page. Using a larger page size will increase the likelihood that subsequent addresses requested by the process will be in the same page, making memory accesses more efficient. A disadvantage of a larger page size is that it can lead to internal fragmentation, where a page might contain unused memory that is not available for use by other processes. This can lead to memory waste and reduced system performance.

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