Given a system with 32 bits logical address and paging is used for memory management, the page size is 4 KB (4096 bytes); If 4 Bytes would be needed to store one entry of the page table, then what is the page table size for a process of 4 MB (4096x496 bytes) address space? O a. 1 KB O b. 8 KB O C. 16 KB O d. 4 KB

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
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Topic Video
Question
**Memory Management and Page Table Size Calculation**

**Problem Statement:**

Given a system with a 32-bit logical address and paging used for memory management, the page size is 4 KB (4096 bytes). If 4 bytes would be needed to store one entry of the page table, then what is the page table size for a process with a 4 MB (4096 x 4096 bytes) address space?

**Options:**

a. 1 KB  
b. 8 KB  
c. 16 KB  
d. 4 KB  

**Explanation:**

In this problem, you need to calculate the page table size for a process with a given address space. The size of each page is 4 KB, and the size required to store one page table entry is 4 bytes.

**Steps to Calculate:**

1. **Address Space and Page Size:**
   - The process has an address space of 4 MB.
   - The page size is 4 KB.

2. **Number of Pages Required:**
   - Total address space = 4 MB = 4096 KB
   - Each page is of size 4 KB.
   - Therefore, the number of pages = Total address space / Page size = 4096 KB / 4 KB = 1024 pages.

3. **Page Table Size:**
   - Each entry in the page table requires 4 bytes.
   - Number of entries in the page table is equal to the number of pages, which is 1024.
   - Therefore, page table size = Number of pages * Size of each entry = 1024 * 4 bytes = 4096 bytes = 4 KB.

**Correct Answer:**
d. 4 KB
Transcribed Image Text:**Memory Management and Page Table Size Calculation** **Problem Statement:** Given a system with a 32-bit logical address and paging used for memory management, the page size is 4 KB (4096 bytes). If 4 bytes would be needed to store one entry of the page table, then what is the page table size for a process with a 4 MB (4096 x 4096 bytes) address space? **Options:** a. 1 KB b. 8 KB c. 16 KB d. 4 KB **Explanation:** In this problem, you need to calculate the page table size for a process with a given address space. The size of each page is 4 KB, and the size required to store one page table entry is 4 bytes. **Steps to Calculate:** 1. **Address Space and Page Size:** - The process has an address space of 4 MB. - The page size is 4 KB. 2. **Number of Pages Required:** - Total address space = 4 MB = 4096 KB - Each page is of size 4 KB. - Therefore, the number of pages = Total address space / Page size = 4096 KB / 4 KB = 1024 pages. 3. **Page Table Size:** - Each entry in the page table requires 4 bytes. - Number of entries in the page table is equal to the number of pages, which is 1024. - Therefore, page table size = Number of pages * Size of each entry = 1024 * 4 bytes = 4096 bytes = 4 KB. **Correct Answer:** d. 4 KB
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Instruction Format
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education