A memory system has 4 KB byte- addressable main memory and a 2-way cache that set associative associative consists of 8 blocks with 32 bytes per block. Assuming the cache is initially empty, determine the number of cache missesthat result from the following sequence of memory accessesassuming the two cache replacement policies below: Memory references: 0x652, 0x643, 0x6D5, 0x6C7, 0x65D, OxA49, 0x644, 0x6C8 a) Assuming a FIFO replacement policy: b) Assuming a Least Frequently Used (LFU) replacement policy:

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
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### Cache Replacement Policies and Memory Accesses

A memory system has 4 KB byte-addressable main memory and a **2-way set associative** cache that consists of 8 blocks with 32 bytes per block. Assuming the cache is initially empty, determine the number of cache misses that result from the following sequence of memory accesses assuming the two cache replacement policies below:

#### Memory References:
0x652, 0x643, 0x6D5, 0x6C7, 0x65D, 0xA49, 0x644, 0x6C8

1. **Assuming a FIFO replacement policy:**
2. **Assuming a Least Frequently Used (LFU) replacement policy:**

In this problem, the memory references will be analyzed to determine the number of cache misses for each of the two cache replacement policies: FIFO and LFU. Each memory access may result in a cache hit or a miss, and the replacement policy will dictate how cache blocks are replaced if a miss occurs and the cache is full.

In a **FIFO (First-In, First-Out)** replacement policy, the oldest cache block is replaced first.

In a **Least Frequently Used (LFU)** replacement policy, the least frequently accessed cache block is replaced first.

By following through the sequence of memory references and applying each replacement policy, we can determine the number of cache misses for each policy.
Transcribed Image Text:### Cache Replacement Policies and Memory Accesses A memory system has 4 KB byte-addressable main memory and a **2-way set associative** cache that consists of 8 blocks with 32 bytes per block. Assuming the cache is initially empty, determine the number of cache misses that result from the following sequence of memory accesses assuming the two cache replacement policies below: #### Memory References: 0x652, 0x643, 0x6D5, 0x6C7, 0x65D, 0xA49, 0x644, 0x6C8 1. **Assuming a FIFO replacement policy:** 2. **Assuming a Least Frequently Used (LFU) replacement policy:** In this problem, the memory references will be analyzed to determine the number of cache misses for each of the two cache replacement policies: FIFO and LFU. Each memory access may result in a cache hit or a miss, and the replacement policy will dictate how cache blocks are replaced if a miss occurs and the cache is full. In a **FIFO (First-In, First-Out)** replacement policy, the oldest cache block is replaced first. In a **Least Frequently Used (LFU)** replacement policy, the least frequently accessed cache block is replaced first. By following through the sequence of memory references and applying each replacement policy, we can determine the number of cache misses for each policy.
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