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1. [17 points] A computer with virtual memory allows progra to address up to 16 Kbyte. The computer has physical memory divided into 512 byte pages. Show how the virtual address is divided into page number and offset into page. Give the size of each field in bits. A page table for a user program is as follows with frame addresses in binary: virtual page age frame not in main memo not in main memory 000 not in main memory" means the resident bit is cleared and this page is not in RAM. For the following virtual addresses, indicate with an x in the appropriate column if that address will generate a page fault. If the page is in RAM, give its physical address. The addresses are given in binary or hexadecimal. Leading zeroes may have been omitted. virtual address page fault physical address 001001000110012 000110010101102 2A316 0ou may wish to convert to binary) 2. [9 points] Consider a system with a 1 GB address space, 128 KB cache with 32 byte lines using fully associative mapping. Show how the address is divided into fields and specify the size of each field Page 1 of 3