Suppose you have a byte-addressable virtual address memory system with 32 virtual pages of 32 bytes each, and 8 page frames. Assuming the following page table, answer the questions below:  | Page # | Frame # | Valid bit | |--------|---------|-----------| |   0    |    4    |     1     | |   1    |    3    |     1     | |   2    |    -    |     0     | |   3    |    0    |     0     | |   4    |    1    |     1     | |   11   |    6    |     0     | |   13   |    7    |     1     | |   17   |    -    |     0     | a) How many bits are needed to address this virtual memory? b) What is the size of the Page field? c) What is the size of the Offset field? d) What is the size of the Page Frame field? e) What is the maximum number of the entries in this Page Table? f) What Physical address corresponds to the Virtual address 0x22? Answer should be in hexadecimal number.    (if the address causes a page fault, answer as "page fault" with the proper reason) g) What Physical address corresponds to the Virtual address 0x172? Answer should be in hexadecimal number.    (if the address causes a page fault, answer as "page fault" with the proper reason) h) What Virtual address corresponds to the Physical address 0x2A? Answer should be in hexadecimal number.    (if the address causes a page fault, answer as "page fault" with the proper reason)

Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Stephen D. Burd
Chapter11: Operating Systems
Section: Chapter Questions
Problem 26VE
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Suppose you have a byte-addressable virtual address memory system with 32 virtual pages of 32 bytes each, and 8 page frames. Assuming the following page table, answer the questions below: 

| Page # | Frame # | Valid bit |
|--------|---------|-----------|
|   0    |    4    |     1     |
|   1    |    3    |     1     |
|   2    |    -    |     0     |
|   3    |    0    |     0     |
|   4    |    1    |     1     |
|   11   |    6    |     0     |
|   13   |    7    |     1     |
|   17   |    -    |     0     |

a) How many bits are needed to address this virtual memory?

b) What is the size of the Page field?

c) What is the size of the Offset field?

d) What is the size of the Page Frame field?

e) What is the maximum number of the entries in this Page Table?

f) What Physical address corresponds to the Virtual address 0x22? Answer should be in hexadecimal number.
   (if the address causes a page fault, answer as "page fault" with the proper reason)

g) What Physical address corresponds to the Virtual address 0x172? Answer should be in hexadecimal number.
   (if the address causes a page fault, answer as "page fault" with the proper reason)

h) What Virtual address corresponds to the Physical address 0x2A? Answer should be in hexadecimal number.
   (if the address causes a page fault, answer as "page fault" with the proper reason)

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