GATE CSE 2024 | Set 1 | Question: 52

Question

Consider a memory management system that uses a page size of $2 \mathrm{~KB}$. Assume that both the physical and virtual addresses start from $0$. Assume that the pages $0,1,2$, and $3$ are stored in the page frames $1,3,2$, and $0$, respectively. The physical address (in decimal format) corresponding to the virtual address $2500$ (in decimal format) is ___________.

Answer 1

So the final answer will be 3* 2028 +452=6596

Answer 2

Answer - 6596

Answer 3

To convert  VA to PA replace Page number with Frame Number.

2KB ~ 11 bit Offset. 
(2500)₁₀₌(100111000100)₂

VA = Page Number  + Offset

Page Number | Offset

1	00111000100

Replace Page number with 3 for Physical Address. ( Given in the Question )

(3)₁₀=(11)₂

Frame Number |  Offset

11	00111000100

(1100111000100)_{2 =} (6596)₁₀

Correct :  (C)  6596