Gate CS-2013 Question Paper With Solutions

Q. 53 A computer uses 46-bit virtual address, 32-bit physical address, and a three-level paged page table organization. The page table base register stores the base address of the
first-level table ^T1h, which occupies exactly one page. Each entry of T1 stores the base
address of a page of the second-level table ^T2h. Each entry of T2 stores the base address
of a pae of the third-level table ^T3h. Each entry of T3 stores a page table entry (PTE).
The PTE is 32 bits in size. The processor used in the computer has a 1MB 16-way set
associative virtually indexed physically tagged cache. The cache block size is 64 bytes.

What is the minimum number of page colours needed to guarantee that no two
synonyms map to different sets in the processor cache of this computer?

(A) 2

(B) 4

(C) 8

(D) 16

Answer: (C)

Explanation:

Gate CS-2013 Question Paper With Solutions

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