8. 8. A 2-way set-associative cache consists of four sets. Main memory contains 2K blocks of 8 bytes each and byte addressing is used. 1. a) Show the main memory address format that allows us to map addresses from main memory to cache. Be sure to include the fields as well as their sizes.

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
Question
**Cache Memory Addressing: Understanding the Main Memory Address Format**

**Problem Statement:**

A 2-way set-associative cache consists of four sets. The main memory contains 2K blocks of 8 bytes each, and byte addressing is used.

1. **Task**: Show the main memory address format that allows us to map addresses from main memory to cache. Be sure to include the fields as well as their sizes.

**Explanation:**

In this scenario, we need to understand how the main memory address is structured to efficiently map into the cache. 

- **2-Way Set-Associative Cache**: This means each set in the cache can store two blocks of data.
- **Cache Structure**: With four sets, it can be visualized as a table with four rows (sets) where each row has two slots (ways) for data blocks.
- **Main Memory**: Contains 2K blocks of 8 bytes each, indicating we need to address 2048 blocks. 

**Address Format:**

- **Block Offset**: Determines the specific byte within a block (3 bits are needed because 2^3 = 8).
- **Set Index**: Identifies the cache set a block will map to. With four sets, 2 bits (2^2 = 4) are needed.
- **Tag**: The remaining bits are used for the tag, which uniquely identifies a block in the cache when combined with the set index.

**Fields and Sizes:**

- **Block Offset**: 3 bits
- **Set Index**: 2 bits
- **Tag**: Remaining bits from the total memory address width. 

This structure helps in efficiently mapping and accessing the main memory data through the cache while avoiding collisions and optimizing performance.
Transcribed Image Text:**Cache Memory Addressing: Understanding the Main Memory Address Format** **Problem Statement:** A 2-way set-associative cache consists of four sets. The main memory contains 2K blocks of 8 bytes each, and byte addressing is used. 1. **Task**: Show the main memory address format that allows us to map addresses from main memory to cache. Be sure to include the fields as well as their sizes. **Explanation:** In this scenario, we need to understand how the main memory address is structured to efficiently map into the cache. - **2-Way Set-Associative Cache**: This means each set in the cache can store two blocks of data. - **Cache Structure**: With four sets, it can be visualized as a table with four rows (sets) where each row has two slots (ways) for data blocks. - **Main Memory**: Contains 2K blocks of 8 bytes each, indicating we need to address 2048 blocks. **Address Format:** - **Block Offset**: Determines the specific byte within a block (3 bits are needed because 2^3 = 8). - **Set Index**: Identifies the cache set a block will map to. With four sets, 2 bits (2^2 = 4) are needed. - **Tag**: The remaining bits are used for the tag, which uniquely identifies a block in the cache when combined with the set index. **Fields and Sizes:** - **Block Offset**: 3 bits - **Set Index**: 2 bits - **Tag**: Remaining bits from the total memory address width. This structure helps in efficiently mapping and accessing the main memory data through the cache while avoiding collisions and optimizing performance.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Arrays
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