The following table shows the core map of a virtual memory system at time t, which has a page size of 1000 bytes. In this table, column "Counter" indicates the number of references on the corresponding page till time t [small value indicates the least recently accessed page]. Process ID Page # Frame # Counter 1 1 lo 1 1 2 4 2 3 3 1 3 2 3 4 lo 2 6 6 3 7 17 Let's assume the given system has memory of 8000 bytes. Right now (@time t), process 1 issues a reference to its logical address 4500, there will be a page fault. If the system deploys LRU algorithm for page replacement with local replacement policy, what is the corresponding physical address being referenced? O a. 5500 O b. 500 O c. 2500 O d. 1500 O e. 4500

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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**Understanding Virtual Memory Systems**

The following table shows the core map of a virtual memory system at time \( t \), which has a page size of 1000 bytes. In this table, the column "Counter" indicates the number of references on the corresponding page till time \( t \) (a small value indicates the least recently accessed page).

| **Process ID** | **Page #** | **Frame #** | **Counter** |
|----------------|------------|-------------|-------------|
| 1              | 1          | 0           | 1           |
| 1              | 2          | 1           | 4           |
| 2              | 2          | 2           | 3           |
| 3              | 1          | 3           | 2           |
| 1              | 3          | 4           | 5           |
| 2              | 1          | 5           | 0           |
| 2              | 0          | 6           | 6           |
| 3              | 2          | 7           | 7           |

Let's assume the given system has a memory of 8000 bytes. Right now (\( \text{@time t} \)), **process 1** issues a reference to its logical address 4500; there will be a page fault. If the system deploys the **LRU (Least Recently Used) algorithm** for page replacement with a **local replacement policy**, what is the corresponding physical address being referenced?

**Question:**   
What is the corresponding physical address being referenced?

- a. 5500
- b. 500
- c. 2500
- d. 1500
- e. 4500

**Explanation:**

In an educational context, this example helps illustrate concepts such as virtual memory, page replacement algorithms (specifically the LRU algorithm), and local replacement policy. The key learning points are:

1. Understanding virtual memory and its organization into pages and frames.
2. Recognizing how the LRU algorithm functions by replacing the least recently used page.
3. Applying the local replacement policy to understand how the system decides on which page to replace when a page fault occurs.
Transcribed Image Text:**Understanding Virtual Memory Systems** The following table shows the core map of a virtual memory system at time \( t \), which has a page size of 1000 bytes. In this table, the column "Counter" indicates the number of references on the corresponding page till time \( t \) (a small value indicates the least recently accessed page). | **Process ID** | **Page #** | **Frame #** | **Counter** | |----------------|------------|-------------|-------------| | 1 | 1 | 0 | 1 | | 1 | 2 | 1 | 4 | | 2 | 2 | 2 | 3 | | 3 | 1 | 3 | 2 | | 1 | 3 | 4 | 5 | | 2 | 1 | 5 | 0 | | 2 | 0 | 6 | 6 | | 3 | 2 | 7 | 7 | Let's assume the given system has a memory of 8000 bytes. Right now (\( \text{@time t} \)), **process 1** issues a reference to its logical address 4500; there will be a page fault. If the system deploys the **LRU (Least Recently Used) algorithm** for page replacement with a **local replacement policy**, what is the corresponding physical address being referenced? **Question:** What is the corresponding physical address being referenced? - a. 5500 - b. 500 - c. 2500 - d. 1500 - e. 4500 **Explanation:** In an educational context, this example helps illustrate concepts such as virtual memory, page replacement algorithms (specifically the LRU algorithm), and local replacement policy. The key learning points are: 1. Understanding virtual memory and its organization into pages and frames. 2. Recognizing how the LRU algorithm functions by replacing the least recently used page. 3. Applying the local replacement policy to understand how the system decides on which page to replace when a page fault occurs.
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