Physical Page Frame Number Mapping - 11.2.3 | 11. Lecture – 28: Paging and Segmentation | Computer Organisation and Architecture - Vol 3
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Introduction to Virtual Addresses

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Teacher
Teacher

Today, we will discuss virtual addresses and how the CPU generates them. Can anyone tell me what a virtual address consists of?

Student 1
Student 1

I think it includes a virtual page number and a page offset?

Teacher
Teacher

Correct! The virtual address has two main components: the virtual page number and the page offset. The offset specifies the exact location within a page while the virtual page number helps us identify which page we are referring to.

Student 2
Student 2

But how does the CPU know where to find the data using this virtual address?

Teacher
Teacher

Great question! The conversion from virtual to physical address happens via a structure called the page table. Each process has its own page table, which maps virtual pages to physical pages.

Understanding the Page Table

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Teacher
Teacher

Let’s dive deeper into the page table. What do you think happens when we reference a virtual page number?

Student 3
Student 3

Doesn’t the page table tell us where that virtual page is in physical memory?

Teacher
Teacher

Exactly! If the valid bit for that entry is 1, it indicates the page is present in physical memory. If it's 0, it means the page is not there and might need to be fetched from disk.

Student 4
Student 4

So valid bits are crucial for knowing whether the address mapping is legal or not?

Teacher
Teacher

Absolutely! Valid bits are key in ensuring efficient memory access and management.

Page Table Size Considerations

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Teacher
Teacher

Now, let’s consider the size of the page table. Why do you think having a large number of processes can affect memory?

Student 1
Student 1

Because each process has its own page table which requires memory space?

Teacher
Teacher

That's right! For example, if each page table is 4 MB and we have 100 processes, that’s a significant amount of memory just for page tables.

Student 2
Student 2

Are there ways to control the size of page tables without wasting memory?

Teacher
Teacher

Yes! We can use mechanisms like the page table length register, allowing us to only allocate space for the part of the virtual space that is actually in use by the process.

Efficient Memory Management

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Teacher
Teacher

To manage memory efficiently, we can implement segmented paging. Who can explain what that means?

Student 3
Student 3

Isn't it about dividing memory into segments with their own page tables for different modules?

Teacher
Teacher

Exactly! This method allows different segments to grow independently, optimizing memory usage and improving access speeds.

Student 4
Student 4

And this prevents fragmentation issues by grouping logically related data together?

Teacher
Teacher

Exactly! Memorable thinking here; grouping data logically helps improve management!

Introduction & Overview

Read a summary of the section's main ideas. Choose from Basic, Medium, or Detailed.

Quick Overview

This section discusses how virtual addresses generated by the CPU are converted to physical addresses through a page table mechanism involving valid bits and offsets.

Standard

The section explains the process of converting virtual addresses into physical addresses using a page table that maps virtual pages either to physical memory or disk addresses. It delves into the role of valid bits in determining the presence of pages in memory and provides insights on structuring page tables to manage memory efficiently.

Detailed

Physical Page Frame Number Mapping

In computer architecture, virtual memory allows processes to generate virtual addresses to access memory. The CPU creates a virtual address that consists of a virtual page number and a page offset. The page offset directly translates to the physical page offset, provided that the page sizes remain consistent across virtual and physical memory. The virtual page number, however, is indexed in a page table to convert it into a physical page frame number, and this physical address determines from where the data is accessed.

Key Components:

  • Page Offset: The lower part of the address which directly corresponds to the data location within the physical page frame.
  • Virtual Page Number: The upper part used to index the page table to find the physical frame number.
  • Valid Bit: Indicates whether the page mapping is valid; if the valid bit is 0, it suggests that the page is not present in physical memory and may need to be fetched from disk.

Overall, the section emphasizes the dual role of page tables in mapping virtual pages to both physical memory and disk addresses, highlighting the growing complexity of page table structures with increasing process demands.

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Audio Book

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Understanding Virtual Addresses

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A process generates virtual addresses to access memory. The CPU must convert these virtual addresses to physical memory addresses to retrieve the required data.

Detailed Explanation

Virtual addresses are used by the CPU to access memory, but they need to be converted to physical addresses to actually access the data stored in memory. This conversion process is essential for efficient computing as the CPU works with virtual addresses while the memory storage is based on physical addresses.

Examples & Analogies

Consider ordering a book from a library. You use the library's catalog (virtual address) to find the book's location on a shelf (physical address). Just like you need the actual shelf location to retrieve the book, the CPU needs to convert virtual addresses to physical addresses to access data.

Components of a Virtual Address

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The virtual address consists of two parts: the page offset and the virtual page number. The page offset is directly translated without modification since the page sizes in both virtual and physical memory are the same.

Detailed Explanation

The virtual address is divided into two components: the page number, which identifies which page the data resides in, and the page offset, which specifies the exact location of the data within that page. Since the size of pages in both virtual memory and physical memory is the same, the offset can be used directly without any conversion.

Examples & Analogies

Imagine a file cabinet where each drawer is a page. The drawer number corresponds to the virtual page number and the exact file within that drawer corresponds to the page offset. You need both to find your document effectively.

Role of the Page Table

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Each process has a page table indexed by the virtual page number. When the valid bit is 1 in the page table entry, it indicates a valid mapping to a physical page frame number.

Detailed Explanation

The page table acts as a mapping device between virtual addresses and physical addresses. It contains entries for each virtual page number, and if the valid bit in an entry is set to 1, it indicates that the corresponding entry has a valid physical page frame number. If the valid bit is 0, it signifies that the page is not present in the physical memory.

Examples & Analogies

Think of the page table as a directory for a hotel. The valid bit indicates whether a room (physical frame) is available. If the room is available (valid bit is 1), you can check in (access the data). If it’s not (valid bit is 0), you can’t check in because the room isn’t ready yet.

Handling Page Misses

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If the valid bit is 0, the page is not present in physical memory and must be fetched from secondary storage. The page table must also contain the disk address of the page.

Detailed Explanation

When the valid bit is 0, it indicates that the requested virtual page is not currently in physical memory. In this case, the system must locate the page on secondary storage (e.g. a hard drive) and bring it into RAM. This process can slow down operations if it happens frequently, known as a page fault.

Examples & Analogies

Imagine you are looking for a book but realize it's not in your library (physical memory). You’ll have to order it from an online store (secondary storage), which takes time, comparing it to fetching data from memory.

Maintaining Two Page Tables

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We maintain two distinct data structures: one to map virtual addresses to physical memory page frames and another to map virtual addresses to secondary storage page addresses.

Detailed Explanation

Maintaining two page tables helps efficiently manage the mapping of virtual pages to their respective locations, whether in physical memory or on disk. This system distinguishes between pages currently in use and those that need to be retrieved from secondary storage.

Examples & Analogies

Consider a restaurant menu that lists available items (physical memory) and also provides a special request section for items that need to be ordered from a supplier (secondary storage). This way, customers know what’s immediately available and what needs to be fetched.

Definitions & Key Concepts

Learn essential terms and foundational ideas that form the basis of the topic.

Key Concepts

  • Virtual Address: Combination of virtual page number and page offset used by the CPU.

  • Page Table: Structure that maps virtual addresses to physical addresses.

  • Valid Bit: Indicates whether a page mapping is legal or not.

  • Physical Address: Actual memory location address derived from a virtual address.

  • Page Table Length Register: A register managing the size of a page table dynamically.

Examples & Real-Life Applications

See how the concepts apply in real-world scenarios to understand their practical implications.

Examples

  • A process generates the virtual address 0xABCDEF, divided into a virtual page number and a page offset to locate data in memory.

  • When a mapping's valid bit is set to 1, it shows the page exists in physical memory, allowing access to data.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

🎵 Rhymes Time

  • In virtual memory's clever tuck, Page number and offset bring good luck!

📖 Fascinating Stories

  • Imagine a library where each book (virtual page) has a shelf location (physical address) and a specific index (page offset). A librarian checks if the book is there (valid bit) or must fetch it from elsewhere (disk).

🧠 Other Memory Gems

  • Remember the acronym VPP (Virtual Page #, Physical Page #) for how virtual addresses consist of both components to find local data.

🎯 Super Acronyms

Use the acronym PTP (Page Table Purpose) to remind how the page table is used for mapping virtual to physical addresses.

Flash Cards

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Glossary of Terms

Review the Definitions for terms.

  • Term: Virtual Address

    Definition:

    An address generated by the CPU, composed of a virtual page number and a page offset.

  • Term: Page Table

    Definition:

    A data structure that maps virtual addresses to physical addresses and contains entries for each page related to a process.

  • Term: Valid Bit

    Definition:

    A bit in the page table entry indicating whether the corresponding page is present in physical memory.

  • Term: Physical Address

    Definition:

    The actual address in memory where data is stored, obtained by translating the virtual address.

  • Term: Page Table Length Register (PTLR)

    Definition:

    A register that holds the size of the current page table, enabling dynamic growth or shrinkage.