Page Table Size and Memory Consumption - 11.3 | 11. Lecture – 28: Paging and Segmentation | Computer Organisation and Architecture - Vol 3
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Introduction to Page Tables

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Teacher
Teacher

Today, we are diving into the concept of page tables, which are essential for translating virtual addresses to physical addresses. Can anyone tell me what a virtual address is?

Student 1
Student 1

Isn't it the address used by programs to access memory, which the CPU generates?

Teacher
Teacher

Exactly! Now, this virtual address is divided into two key parts: the page offset and the virtual page number. The page offset remains the same when translated to physical memory. Why do you think that is?

Student 2
Student 2

Maybe because the page size is the same in both virtual and physical memory?

Teacher
Teacher

Right! Remember this with the acronym 'POS' for Page Offset Same. Now, what happens after we have the valid bit in the page table entry?

Student 3
Student 3

If the valid bit is 1, we can access the physical page frame number.

Teacher
Teacher

Correct! And if it's 0?

Student 4
Student 4

That means the page isn't in physical memory, and we need to pull it from disk.

Teacher
Teacher

Excellent! So, the valid bit plays a crucial role in memory management.

Memory Consumption and Page Tables

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Teacher
Teacher

Now that we understand the structure of a page table, let's discuss its size. Can someone explain how much memory a page table consumes?

Student 1
Student 1

If we have a 32-bit computer and a page size of 4KB, wouldn't it be around 4MB for one process?

Teacher
Teacher

Exactly! That's one page table per process. Now, if we have multiple processes, how does the memory consumption grow?

Student 2
Student 2

It could become massive! For example, 100 processes would need about 400MB.

Teacher
Teacher

That's correct! This is why we use techniques to manage page table sizes. Can anyone suggest a technique?

Student 3
Student 3

We could use the page table length register to indicate the actual size of the table needed.

Teacher
Teacher

Absolutely! It helps accommodate the dynamic growth of virtual memory. Remember, PTLR for Page Table Length Register.

Dynamic Memory Management

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Teacher
Teacher

As processes run, their memory needs change. What's a typical scenario where memory size would need to adjust?

Student 1
Student 1

When a program calls functions or allocates more dynamic memory using 'malloc'?

Teacher
Teacher

Exactly! In such cases, how does the system know how to expand the page table efficiently?

Student 2
Student 2

By using a length register to manage how much memory is currently allocated!

Teacher
Teacher

Great! Each segment can grow or shrink, but what can happen if segments grow towards each other?

Student 3
Student 3

There could be a collision or overlapping of stack and heap.

Teacher
Teacher

Exactly—this is why we have strategies like segmentation to manage the growth of segments properly!

Segmentation and Paging

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Teacher
Teacher

Now, let’s delve into the concept of segmentation combined with paging. Why do we use both?

Student 1
Student 1

It allows for better memory management by organizing memory into logically related segments.

Teacher
Teacher

Exactly! Each segment can have its own page table. How would you represent a memory request in this system?

Student 2
Student 2

We would use a virtual address composed of a segment number, page number, and offset!

Teacher
Teacher

Correct! This structure allows you to access large segments efficiently while paging helps in utilizing memory optimally.

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 are mapped to physical addresses through page tables and the implications for memory consumption.

Standard

The section elaborates on the structure and importance of page tables in virtual memory management, explaining how they relate to physical memory consumption. It also addresses the challenges of managing multiple page tables for different processes and techniques to optimize memory usage.

Detailed

In this section, the structure of page tables is explored, highlighting how virtual addresses are divided into page offsets and virtual page numbers. The valid bit in page table entries determines the legality of mapping virtual pages to physical memory. It further discusses how large page tables can result in significant memory consumption, particularly in systems with multiple processes. Techniques like page table length registers help manage the size of these tables more effectively, accommodating the dynamic growth of virtual memory. By optimally managing memory references and using separate page tables for segments, the overall efficiency of memory usage can be improved, ensuring system performance and resource management.

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Understanding Page Tables

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Page tables can be huge; it can be very big. Let us consider a 32 bit computer. So, which has it has a 32 bit logical address space; 32 bit computers its a modern computer. The page size is 4 KB, so therefore 212. Page table would contain the page table if the page size is 4 KB, the page table will contain how many?

Detailed Explanation

In a modern 32-bit computer, each process has a logical address space of 32 bits, which means it can theoretically address up to 2^32 bytes. Given that the page size is 4 KB (or 2^12 bytes), we can calculate the number of pages in the logical address space. The total number of pages would be 2^(32-12) = 2^20, which equals 1 million entries in the page table. Each entry in the page table typically consumes 4 bytes.

Examples & Analogies

Imagine a library catalog where each book corresponds to a page. If the library can hold 1 million books and each book's catalog information (like title, author, and location) occupies 4 bytes, the catalog will take up a significant amount of space.

Memory Requirements for Page Tables

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Each page table entry is 4 bytes; so, typically page table entries are 32 bits as we discussed. So, therefore, we will have 4 MB of physical memory that will be required for one page table. Now, if we have now considered the situation where we have hundreds of programs running in; so, we have hundreds of processes running in parallel in the in the system.

Detailed Explanation

Since each page table entry is 4 bytes, for 1 million entries, the total memory requirement for a single page table is 4 MB (1 million entries x 4 bytes per entry). If we have hundreds of processes running simultaneously, each consuming 4 MB for its page table, this can lead to a dramatic increase in the total physical memory consumed by page tables alone. For example, if there are 100 processes active concurrently, the total memory used for page tables would be 100 x 4 MB = 400 MB.

Examples & Analogies

Think of this memory consumption like the administrative work involved in running a large organization. Just as a company needs sufficient human resources to manage employee records (the equivalent of page tables), a computer needs adequate memory to handle multiple sets of records for all running processes.

Techniques to Control Page Table Size

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A few techniques are applied in an effort to control the size of the page table. The one of the simplest technique is as is as follows. So, we use a page table length register, we use a page table length register in order to tell precisely currently what amount of virtual memory space is a process currently taking.

Detailed Explanation

To manage memory more effectively, operating systems employ a Page Table Length Register (PTLR). This register indicates the amount of virtual memory currently utilized by a process. As the process runs, if it requires more memory (for example, as it loads more data or calls additional functions), the PTLR can be adjusted. This allows the operating system to track memory usage dynamically without reserving too much space in advance.

Examples & Analogies

This can be likened to a restaurant management system that tracks the number of customers at any given time. By only setting tables for the number of customers currently dining, the restaurant can efficiently use its space rather than permanently reserving every possible table.

Dynamic Growth of Virtual Memory

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Now, the virtual memory of a process can grow ok with time. So, initially as more and more data as it calls more procedures as it requires for more dynamically allocated memory, so the size of the virtual memory will grow.

Detailed Explanation

As a program continues to run, its demand for memory may increase due to various operations—like allocating new objects, creating new threads, or loading additional data. This growth requires the page table to accommodate new entries by increasing the size of the PTLR. The system can dynamically scale up the page table to handle the expanding memory requirements.

Examples & Analogies

Consider an online storage service that allows users to upload files. Initially, a user may have a small collection of images, but over time, as they add more photos, their storage needs grow. The service allocates more space for that user to ensure their needs are met—a process similar to how the page table adjusts to a program's demands.

Two-Level Paging with Segmentation

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To handle this problem we sometimes use paging with segmentation. This segmentation is a little different from the segmentation we just discussed in the previous slide. So, this also provides two levels of mapping but this segmentation is a bit more flexible.

Detailed Explanation

Paging with segmentation combines the benefits of both approaches to manage memory efficiently. In this setup, each process has segments for different functionalities (like code, data, and stack), and within those segments, the pages help manage how that memory is allocated. Each segment can grow independently, and the system can optimize memory usage more effectively, accommodating more complex structures and growth patterns.

Examples & Analogies

Think of it like the layout of a shopping mall with distinct stores for different product types (like clothing, electronics, and food). Each store can change its size and inventory based on demand, adapting to customer needs while ensuring that the overall shopping experience is managed efficiently.

Definitions & Key Concepts

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

Key Concepts

  • Virtual Address: An address that the CPU uses to reference memory, needing mapping to physical memory.

  • Page Table: A structure that facilitates the conversion from virtual addresses to physical addresses.

  • Valid Bit: Indicator in the page table showing if the associated page is in physical memory.

  • Page Table Length Register: A tool to manage the actual size of a process's page table.

  • Segmentation: Method of dividing memory into logical segments for improved organization.

Examples & Real-Life Applications

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

Examples

  • On a 32-bit system with a page size of 4KB, each process may have a page table size of 4MB, which grows with more processes.

  • For a system running 100 different processes, approximately 400MB can be consumed just for their page tables based on the structure discussed.

Memory Aids

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

🎵 Rhymes Time

  • In memory's space, pages reside, valid is true, when they're inside.

📖 Fascinating Stories

  • Imagine a library. The page table is a librarian directing to books. Valid means the book is on the shelf; invalid means it's checked out.

🧠 Other Memory Gems

  • Use 'PVS' for remembering Page Table: P for Pages, V for Valid Bit, S for Size.

🎯 Super Acronyms

Remember PTLR for Page Table Length Register.

Flash Cards

Review key concepts with flashcards.

Glossary of Terms

Review the Definitions for terms.

  • Term: Virtual Address

    Definition:

    An address generated by the CPU to access memory that must be mapped to a physical address.

  • Term: Page Table

    Definition:

    A data structure that maps virtual pages to physical page frames or disk pages.

  • Term: Valid Bit

    Definition:

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

  • Term: Page Table Length Register (PTLR)

    Definition:

    A register that indicates the actual size of the page table used by a process.

  • Term: Segmentation

    Definition:

    The division of memory into logical segments to manage different memory types effectively.