Question 6

Computer Awareness Introduction to Operating Systems Easy

Consider a system with 1 K pages and 512 frames and each page is of size 2 KB . How many bits are required to represent the virtual address space memory:

(A) 20 bits
(B) 21 bits
(C) 11 bits
(D) 16 bits
✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

\(\text{Virtual address space consists of pages. Given that,}\) \begin{aligned} &\text{Number of pages} = 1K = 2^{10} \\ &\text{Page size} = 2KB = 2^{11} \text{ Bytes} \end{aligned} \(\text{Hence, the virtual address space:} \) \[ 2^{11} \times 2^{10} = 2^{21} \text{ Bytes} \] \(\text{Thus, } 21 \text{ bits are required to represent the virtual address space.} \)

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