Mapping Schemes - 8.1.8 | 8. Lecture – 28 | Computer Organisation and Architecture - Vol 3
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Memory Speed and Access Time

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Teacher
Teacher

Today, we're focusing on how the speed of processors has outpaced memory access. Can anyone explain why this discrepancy is a concern?

Student 1
Student 1

If the processor is faster than memory, it means it'll spend more time waiting for data?

Teacher
Teacher

Exactly! This waiting can lead to inefficient processing. What do we call the time it takes for memory to provide data?

Student 2
Student 2

That would be the memory access time, right?

Teacher
Teacher

Correct! In what ways can we mitigate these issues?

Student 3
Student 3

One way is to use a hierarchy of caches. The faster ones should be close to the processor.

Teacher
Teacher

Great point! We focus on a hierarchy of memories to balance speed and cost. Let's summarize: What is the primary concern regarding processor and memory speeds?

Student 4
Student 4

The processor's speed is much faster than memory access time, leading to inefficiencies.

Types of Memory

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Teacher
Teacher

Now, let’s look at different memory types. Can anyone name them and summarize their performance characteristics?

Student 1
Student 1

SRAM is faster but costs more, while DRAM is slower but cheaper!

Teacher
Teacher

Exactly! SRAM has faster access times but higher costs. What is the primary usage for SRAM in computing?

Student 2
Student 2

It's usually used for cache memory, isn't it?

Teacher
Teacher

Correct! And why do we consider using magnetic disks despite their slower access time?

Student 3
Student 3

Because they offer much higher storage capacities at lower cost.

Teacher
Teacher

Precisely! So, to summarize this session, what kind of trade-off do we see between speed and cost in memory types?

Student 4
Student 4

Faster memory like SRAM is more expensive, while slower options like magnetic disks are cheaper but less efficient.

Cache Mapping

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Teacher
Teacher

Let’s dive into cache mapping schemes. What’s a direct-mapped cache?

Student 2
Student 2

It maps each block of memory to one specific line in the cache!

Teacher
Teacher

Right! What are the trade-offs of using direct-mapped caches?

Student 1
Student 1

Well, they’re easy to manage but can have conflict misses when multiple blocks map to the same line.

Teacher
Teacher

Exactly! Now, what about fully associative caches? What’s the advantage there?

Student 3
Student 3

They can store data in any cache line, reducing misses!

Teacher
Teacher

Great insight! However, what’s the main disadvantage?

Student 4
Student 4

They are more complex and costly since every line in the cache has to be checked.

Teacher
Teacher

Correct! Let’s summarize the key points about mapping schemes.

Student 2
Student 2

Direct-mapped is easy but can lead to misses, while fully associative is more flexible but complex.

Introduction & Overview

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

Quick Overview

This section discusses the importance of memory mapping schemes and how hierarchical memory structures can optimize computer performance.

Standard

The section elaborates on the challenges posed by the speed disparities between processors and memory access times, explaining various mapping schemes like direct-mapped and associative caches. It further highlights trade-offs pertaining to memory types and sizes, utilizing principles of locality to enhance efficiency.

Detailed

Detailed Summary

In this section, we delve into the various aspects of mapping schemes in computer architecture, particularly focusing on the relationship between processing speed and memory access times. As processor speeds have significantly increased, memory speed improvements have lagged, creating a bottleneck that affects system performance. To address this, hierarchical memory structures consist of multiple levels of cache, with each level designed for speed and capacity optimizations.

The different types of memory (SRAM, DRAM, and magnetic disks) exhibit varied costs and access times, which necessitates a strategic trade-off in their use. Spatial and temporal locality principles are critical factors in memory design, guiding the cache organization processes to ensure that frequently accessed data is quickly retrievable.

Caches can be organized in various ways, including direct-mapped, exclusive, and associative mappings, each offering unique advantages and disadvantages in terms of speed and efficiency. The section also covers the importance of cache replacement policies, multi-level caches for diminishing miss penalties, and introduces practical scenarios where these concepts are applicable, thereby enhancing the overall understanding of computer architecture.

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Direct Mapped Cache Overview

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When we started talking about caches in particular, we first looked at direct mapped caches where each memory block can be placed in a unique cache line. So, while talking of caches we said that we divide the memory as well as the caches into same sized blocks. The divisions in memory will be called blocks the divisions in caches will be called lines.

Detailed Explanation

A direct mapped cache is a type of cache memory where each block of main memory is mapped to exactly one cache line. This means that every time a piece of data is needed, the computer knows exactly which cache line to check, making access quicker. Memory and cache are divided into blocks and lines of the same size for this process to work effectively.

Examples & Analogies

Think of a library with specific shelves for different categories of books. If each book category (like fiction, science, history) can only go on one specific shelf, you know exactly where to find any book—no searching through other shelves. This is similar to how a direct mapped cache operates.

Cache Address Structure

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To locate data in cache memory address is divided into 3 parts. So, each physical memory address generated by the processor is divided into 3 parts: the tag bits, the index bits, and the word offset.

Detailed Explanation

Each memory address in the cache is divided into three segments: tag bits, index bits, and word offset. The tag bits identify which specific data block is stored, the index bits point to the cache line where data might be found, and the word offset indicates the exact location of the data within that block.

Examples & Analogies

Imagine your home address (for mailing). Your house number is like the index, telling the postman which street (or cache line) to look at. The street name and area code are like the tag, ensuring that the letter gets to the right address. Finally, the specific apartment in a building is analogous to the word offset, pinpointing where exactly to go.

Write-Through Cache Mechanism

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To keep cache and memory consistent a write through scheme can be used so that every write into the cache causes memory to be updated.

Detailed Explanation

In a write-through cache, every time data is written to the cache, the same data is also immediately written to the main memory. This approach helps keep the cache and memory aligned. However, it can slow down performance since writing to main memory is slower than writing to the cache.

Examples & Analogies

Think about writing notes on a whiteboard. If you copy the notes to a notebook right away (like a write-through cache), your information is always up-to-date in two places. But, this can take extra time compared to just writing in one place.

Write Buffer Strategy

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So, the solution to this performance problem of write through caches is to use a write buffer, a queue that holds data while it is writing to memory.

Detailed Explanation

A write buffer is an additional storage area that temporarily holds data that the processor needs to write to memory. This allows the processor to continue executing other instructions without waiting for the memory write operation to complete, improving overall performance.

Examples & Analogies

Imagine you are cooking multiple dishes at home. Instead of waiting for one dish to finish before you start another, you use multiple pots—this is like a write buffer that lets you keep working on other tasks while one is cooking (writing to memory).

Write Allocate vs No Write Allocate Policy

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In a write allocate policy when we have a write miss; I first bring the block of memory from the main memory into the cache and then write on to this cache line. In a no write allocate policy, when I have a write miss, I do not just allocate a line in cache for this memory block, I directly write on to the main memory.

Detailed Explanation

The write allocate policy means that if data needs to be written and is not yet in the cache (a write miss), it first brings the relevant block of memory into the cache before writing. Conversely, the no write allocate policy skips bringing the block into cache and writes directly to memory instead. The first policy can be faster when data is repeatedly accessed, while the second policy saves time by not interacting with the cache.

Examples & Analogies

If you think of a refrigerator as your cache: the write allocate policy is like placing groceries into an empty fridge before you start cooking. The no write allocate policy is like cooking directly from the grocery bag without putting anything in the fridge. For repetitive use, the first is helpful, but the second can save time if you won’t use the items again soon.

Write Back Cache Strategy

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An alternative to write through is write back; where a cache line is written back to memory only when it is replaced.

Detailed Explanation

With write back caches, data is written only to the cache initially and only written back to the main memory when the cache line needs to be replaced. This can save a lot of write operations and improve performance, especially for repetitive writes. However, it requires careful management to ensure data integrity because the memory may not reflect the latest data until a write-back occurs.

Examples & Analogies

Picture a workspace where you jot down ideas on sticky notes. You don’t transfer each idea to a notebook immediately (write back). Instead, you wait until you need to clean up or reorganize your workspace, at which point you copy all the sticky notes at once. This way, you save time by not writing redundantly.

Spatial Locality and Cache Line Size

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To take advantage of spatial locality a cache must have larger size than one word.

Detailed Explanation

Spatial locality refers to the tendency of programs to access data locations that are close to each other. Thus, having larger cache lines (i.e., not just one word) improves efficiency because when one piece of data is accessed, surrounding data is often loaded too, reducing cache misses.

Examples & Analogies

Consider a student studying. If they are reading a textbook, they often read paragraphs close to each other instead of jumping back and forth across the book (spatial locality). If you read a whole page instead of one line, you grasp more context at once, reducing the need to go back and look at what you missed.

Definitions & Key Concepts

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

Key Concepts

  • Processor Speed vs Memory Speed: The significant gap between the speeds of processors and memories can result in inefficiencies in data processing.

  • Spatial and Temporal Locality: Refer to the tendencies of programs to access certain memory locations more frequently or in sequences, which can be leveraged to improve cache efficiency.

  • Cache Mapping Schemes: Refers to the ways data from the main memory is mapped to cache memory, including direct-mapped, associative, and set-associative techniques.

Examples & Real-Life Applications

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

Examples

  • When multiple applications are running on a device, the efficient use of cache can greatly enhance overall performance by reducing access times.

  • In a laptop with limited RAM, using a hierarchical cache structure can allows access to frequently used data quickly, improving user experience.

Memory Aids

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

🎵 Rhymes Time

  • In a world of data speed, access is what we need. Caches hold the keys, for processors to please.

📖 Fascinating Stories

  • Imagine a librarian who organizes books by genre (cache mapping). If books always go in one shelf (direct mapped), some might be forgotten, but if any shelf can hold them (associative), it's easier to find what's needed!

🧠 Other Memory Gems

  • Caches Save Precious Access Time (C, S, P, A, T) for memory performance.

🎯 Super Acronyms

SRAM = Super Rapid Access Memory; DRAM = Daily Required Access Memory.

Flash Cards

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Glossary of Terms

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  • Term: SRAM

    Definition:

    Static Random-Access Memory; a type of memory that is faster and more expensive, used for cache.

  • Term: DRAM

    Definition:

    Dynamic Random-Access Memory; slower and cheaper, used for main memory.

  • Term: Memory Hierarchy

    Definition:

    An organization of computer memory that uses multiple types of memory to balance speed and cost.

  • Term: Cache Miss

    Definition:

    A situation where data requested from cache is not found, requiring a slower access to main memory.

  • Term: Associative Mapping

    Definition:

    A cache mapping scheme where any block can be placed in any line of the cache.

  • Term: Conflict Miss

    Definition:

    A cache miss that occurs when multiple data blocks compete for the same cache line.