Question

A paging system with an X-bytes of logical memory with some portions of logical addresses (decimal) with its contents as shown in Table 1 need to be mapped to an I-bytes of physical memory based on the complete $2^n$ entries for a page table shown in Table 2. Assume that each entry size is $2^m$-bytes and the physical memory size is $2^k$ frames. Answer the following questions. Table 1 Table 2 Logical Address Content Page # Frame # 0 B 0 10 1 - 1 8 2 - 2 5 3 A 3 13 4 D 5 G 6 7 K 8 19 C 20 F (a) Calculate the page size of the logical memory in bytes? [2] (b) Calculate the size of X and Y. Show your working. [4] (c) Calculate the number of bit that will be used for the page number in logical memory address and frame number in physical memory address? [4] (d) What will be the contents of frame 5? Justify your answer. [3] (e) Given the page number and the offset as 1:10 for logical address, calculate the physical address. [4] (f) Calculate the logical address (decimal) given a physical address as 10010110$_2$. Show your working. [4]

          A paging system with an X-bytes of logical memory with some portions of logical addresses
(decimal) with its contents as shown in Table 1 need to be mapped to an I-bytes of physical
memory based on the complete $2^n$ entries for a page table shown in Table 2. Assume that each
entry size is $2^m$-bytes and the physical memory size is $2^k$ frames. Answer the following
questions.
Table 1
Table 2
Logical Address
Content
Page #
Frame #
0
B
0
10
1
-
1
8
2
-
2
5
3
A
3
13
4
D
5
G
6
7
K
8
19
C
20
F
(a) Calculate the page size of the logical memory in bytes? [2]
(b) Calculate the size of X and Y. Show your working. [4]
(c) Calculate the number of bit that will be used for the page number in logical memory
address and frame number in physical memory address? [4]
(d) What will be the contents of frame 5? Justify your answer. [3]
(e) Given the page number and the offset as 1:10 for logical address, calculate the
physical address. [4]
(f) Calculate the logical address (decimal) given a physical address as 10010110$_2$. Show
your working. [4]

A paging system with an X-bytes of logical memory with some portions of logical addresses
(decimal) with its contents as shown in Table 1 need to be mapped to an I-bytes of physical
memory based on the complete 2^n entries for a page table shown in Table 2. Assume that each
entry size is 2^m-bytes and the physical memory size is 2^k frames. Answer the following
questions.
Table 1
Table 2
Logical Address
Content
Page #
Frame #
0
B
0
10
1
-
1
8
2
-
2
5
3
A
3
13
4
D
5
G
6
7
K
8
19
C
20
F
(a) Calculate the page size of the logical memory in bytes? [2]
(b) Calculate the size of X and Y. Show your working. [4]
(c) Calculate the number of bit that will be used for the page number in logical memory
address and frame number in physical memory address? [4]
(d) What will be the contents of frame 5? Justify your answer. [3]
(e) Given the page number and the offset as 1:10 for logical address, calculate the
physical address. [4]
(f) Calculate the logical address (decimal) given a physical address as 100101102. Show
your working. [4]

Added by Natalie H.

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