Determining the Main Memory Size of a Cache System

13 Mar 2024

What is the size of the main memory of this system?

To determine the size of the main memory in this cache system, we need to first look at the tag and line number bit sizes. From the given table, we can see that the tag is 2 bits and the line number is also 2 bits. This means that the cache has 4 lines (2^2). Next, we need to determine the block size which is given as one word or 4 bytes. Therefore, each block in the cache consists of 4 words or 16 bytes (4 bytes/word x 4 words/block). Since each line in the cache consists of one block, the size of each line is 16 bytes. And since there are 4 lines in the cache, the total size of the cache is 64 bytes (16 bytes/line x 4 lines). However, the size of the main memory is not provided in the given information. Without additional information, we cannot determine the size of the main memory in this system.

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