Our system is using virtual memory and has 48-bit virtual address space and 32-bit physical address space. Page size is 16 KiB. (a) How many entries are needed for a single-level page table? What does the two-level page table look like if the part of the virtual address which identifies the page number is split into two fields of equal size? (b) Our system also has the TLB (Translation Lookaside Buffer) with 128 entries. We run the following program which reads 32-bit integers from an array of size 200 000: int[] t = new int [200000]; for (int i=399; i>=0; i--) { for (int j = 0; j<500; j++) { } } // we access t[i+ 400 * j ] How efficient is the TLB in this case? More precisely, how many times will a TLB miss occur (resulting in page table lookup)? Assume that the TLB is initially empty.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Our system is using virtual memory and has 48-bit virtual address space and 32-bit
physical address space. Page size is 16 KiB.
(a) How many entries are needed for a single-level page table?
What does the two-level page table look like if the part of the virtual address which
identifies the page number is split into two fields of equal size?
(b) Our system also has the TLB (Translation Lookaside Buffer) with 128 entries. We
run the following program which reads 32-bit integers from an array of size 200 000:
int[] t = new int [200000];
for (int i=399; i>=0; i--) {
for (int j=0; j<500; j++) {
}
}
// we access t[ i +400 * j ]
How efficient is the TLB in this case? More precisely, how many times will a TLB
miss occur (resulting in page table lookup)? Assume that the TLB is initially empty.
Transcribed Image Text:Our system is using virtual memory and has 48-bit virtual address space and 32-bit physical address space. Page size is 16 KiB. (a) How many entries are needed for a single-level page table? What does the two-level page table look like if the part of the virtual address which identifies the page number is split into two fields of equal size? (b) Our system also has the TLB (Translation Lookaside Buffer) with 128 entries. We run the following program which reads 32-bit integers from an array of size 200 000: int[] t = new int [200000]; for (int i=399; i>=0; i--) { for (int j=0; j<500; j++) { } } // we access t[ i +400 * j ] How efficient is the TLB in this case? More precisely, how many times will a TLB miss occur (resulting in page table lookup)? Assume that the TLB is initially empty.
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