Inverted Page Table - 12.3 | 12. Hierarchical Page Tables | Computer Organisation and Architecture - Vol 3
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Introduction to Page Tables

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Teacher
Teacher

Today, we are discussing page tables, which play a crucial role in virtual memory management. Can anyone tell me what a page table's primary function is?

Student 1
Student 1

Isn't it to map virtual addresses to physical addresses?

Teacher
Teacher

Exactly! Page tables help keep track of where virtual pages are stored in physical memory. Now, if we have multiple processes, each might need its own page table. How do you think this might be problematic?

Student 2
Student 2

It might use too much memory if every process has a large page table.

Teacher
Teacher

Correct! This is where the concept of inverted page tables comes in to save memory space.

Inverted Page Table Mechanics

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Teacher
Teacher

An inverted page table functions differently since it tracks physical pages instead of virtual ones. Can anyone explain what happens in an inverted page table?

Student 3
Student 3

It stores information about physical pages and maps them back to the virtual addresses when needed.

Teacher
Teacher

Yes! Each entry in this table includes the virtual address and the process ID. This lets the CPU access physical memory using these mappings. What do you think is a potential downside?

Student 4
Student 4

Searching takes longer since there is only one table for all the physical pages.

Teacher
Teacher

That's correct! While this structure saves memory, it can slow down the process of memory access due to lengthy searches.

Improving Search Times with Hash Tables

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Teacher
Teacher

To overcome the slow search problem, we can implement hashing. Would someone explain how this could help?

Student 1
Student 1

Hashing would allow you to narrow down the search to specific entries instead of going through the whole table.

Teacher
Teacher

Exactly! By using a hash function, we can effectively reduce the number of comparisons needed to find a valid entry.

Student 2
Student 2

So, this makes it quicker to map virtual addresses to physical ones!

Teacher
Teacher

Exactly right! Hashing brings efficiency while keeping the memory footprint low.

Applications and Challenges of Inverted Page Tables

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Teacher
Teacher

Inverted page tables are used in specific architectures, including several IBM systems. Who can mention one advantage of using this method?

Student 3
Student 3

It decreases the overall memory needed to store all the page tables, right?

Teacher
Teacher

Correct! However, what about the disadvantages we've talked about?

Student 4
Student 4

Longer search times and complexity in managing the table.

Teacher
Teacher

Well summarized! Being aware of both the advantages and challenges helps anyone utilizing these systems.

Introduction & Overview

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

Quick Overview

This section introduces the concept of inverted page tables, which track physical pages instead of virtual pages, reducing memory usage and improving efficiency.

Standard

Inverted page tables are fundamental structures used in modern computing systems that maintain a single page table indexed by physical memory locations rather than individual processes. This method enhances memory savings while simultaneously increasing the time required for searches.

Detailed

Inverted Page Table: Detailed Summary

The inverted page table is a significant advancement in memory management techniques, particularly for systems with large address spaces. Unlike traditional page tables, which allocate an entry for every virtual page per process, inverted page tables have a single entry for each physical page in memory. This strategy drastically reduces the memory footprint required for page table storage, especially in environments with numerous processes requiring virtual memory.

Key Points:

  1. Structure and Indexing: An inverted page table holds entries indexed by physical page frame numbers (not by virtual page or process ID). Each entry contains the corresponding virtual address and Process ID (PID), enabling effective mapping from physical memory back to logical addresses.
  2. Efficiency: Although having a singular page table decreases memory use, it can slow down address resolution since every memory access involves searching through the entire table for valid entries. This can lead to increased computational overhead.
  3. Hashing Techniques: To mitigate search times, hash tables can be implemented, making it possible to limit the search range and subsequently speeding up address translations.
  4. Usage: This method is particularly useful in systems like those observed in IBM architectures like PowerPC, demonstrating its practical relevance in computer engineering.
  5. Challenges: The primary trade-off involves the added complexity of the search process versus the improved storage efficiency.

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Audio Book

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Introduction to Inverted Page Table

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The next approach is the use of an inverted page table. The main concept in inverted page table is as follows: Instead of having a page table for each process and keeping track for all possible logical pages, we only keep track of all physical pages.

Detailed Explanation

An inverted page table simplifies the memory management process by maintaining a single page table for the entire physical memory, as opposed to having individual page tables for each process. This change reduces memory consumption since only one page table entry is kept for each physical memory page rather than numerous entries for each logical page used by different processes.

Examples & Analogies

Think of an inverted page table like a library database that only records the books (physical pages) that the library has, rather than listing the specific sections or categories for each individual reader (process). When a reader wants to borrow a book, the librarian just checks the single book list rather than checking various lists for each category or reader.

Structure of Inverted Page Table

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This page table is indexed by page frame number. It contains the virtual address along with the process ID (PID) of a process.

Detailed Explanation

The structure of an inverted page table allows easy identification of the virtual address associated with a physical frame. Each entry points to a specific entry containing both the virtual address and the ID of the process that owns that virtual address. This helps ensure a quick lookup to find out exactly which virtual address corresponds to each physical memory page.

Examples & Analogies

Imagine a keyed lock system where each physical key (page frame) unlocks a specific drawer in a filing cabinet. Each drawer contains files (virtual addresses) belonging to different people (processes). To find a file, one simply uses the key to unlock the drawer associated with that key, rather than looking through several drawers for a specific individual's files.

Search Process in Inverted Page Table

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Given the combination of PID and page number, a search is performed through the page table to find a match. If a match is found, the index provides the physical page frame number.

Detailed Explanation

To access data in memory, the CPU generates a logical address which includes both the PID and the page number. The inverted page table is then searched to match this combination. When a match is found, the index number gives the physical memory location where the requested data resides. This process, however, may require searching through many entries, depending on the overall size of the page table.

Examples & Analogies

Consider a directory in a large office. To locate an employee's desk, you might need to search through many names until you find the right one. Only when you find the right name can you determine the exact location (physical memory) of that employee.

Trade-offs of Inverted Page Table

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The advantage of the inverted page table is that it decreases the memory needed to store page tables, but it increases the time needed to search the table when a page reference is made.

Detailed Explanation

While an inverted page table reduces the overall memory footprint by consolidating page entries into a single table, it can slow down access times. Searching for the correct mapping from a PID and page number takes more effort than simply accessing an individual page table for each process. This trade-off is essential to consider when designing systems that need to balance between speed and space efficiency.

Examples & Analogies

Think of a communal pantry where all food items (physical addresses) are stored in one location. While it's easier to manage one pantry without separate storage for each household (reducing memory), finding a specific food item might take longer as you have to look through everything instead of just your own designated shelves.

Use of Hash Table for Optimization

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To control the search time in an inverted page table, a hash table can be employed to limit the search to one or a few entries.

Detailed Explanation

By introducing a hash table structure, searching for a specific virtual address becomes more efficient. The virtual page number can be hashed to find its corresponding physical memory location quickly. This significantly reduces the number of entries to look through, minimizing the search time and thereby enhancing performance.

Examples & Analogies

Imagine using a phonebook app that allows you to search for a person by just typing their name. Instead of flipping through all the pages in a physical phonebook, the app quickly finds the contact's number by using an indexing system, thus saving time and effort.

Definitions & Key Concepts

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

Key Concepts

  • Inverted Page Table: A page table methodology that tracks physical pages instead of virtual pages, optimizing memory usage.

  • Process ID (PID): A unique identifier that helps to establish the mapping between physical and virtual pages.

Examples & Real-Life Applications

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

Examples

  • When using a standard page table with multiple processes, each process may need its own page table leading to extensive memory use. An inverted page table solves this by having one table for all physical pages, significantly decreasing memory requirements.

  • In IBM PowerPC architectures, inverted page tables are utilized to manage large address spaces efficiently, demonstrating their practical application.

Memory Aids

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

🎵 Rhymes Time

  • Inverted tables, memory's knight, store physical frames, keep data tight.

📖 Fascinating Stories

  • Imagine a librarian with a single large book for every physical book in a library. Each entry contains details about which book belongs to which borrower, simplifying tracking but slowing down the search process.

🧠 Other Memory Gems

  • I PIT – I's for Inverted, P for Physical, I for Identify and T for Table.

🎯 Super Acronyms

PIVOT - Physical pages Inverted for Virtual Overhead Tracking.

Flash Cards

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Glossary of Terms

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  • Term: Inverted Page Table

    Definition:

    A data structure that maintains mapping of physical frame numbers to virtual addresses and process IDs, allowing efficient memory management.

  • Term: Logical Address

    Definition:

    An address generated by the CPU, which needs to be translated to a physical address.

  • Term: Physical Address

    Definition:

    An actual location in memory where data is stored.

  • Term: Process ID (PID)

    Definition:

    A unique identifier assigned to a process by the operating system.