A 32-byte, 2-way set-associative cache (using write-back with write allocation and LRU replacement policies) with 8-byte blocks receives requests for the following 8-bit addresses (represented in binary): 0000 0100, 0000 0101, 0110 1000, 1100 1000, 0110 1000, 1101 1101, 0100 0101, 0000 0100, 1100 1000 (a) Draw the detailed cache block diagram. Specify which parts of the 8-bit physical address are used for tag, set index, and byte offset. (6) In your cache, what will be the tags at the end of the sequence? Assume that cache is initially empty. Determine hit ratio and show the final states of the cache (including tag bits and valid bit etc.). Show all your work to get full credit (6) Determine the total size of the cache in bits including the tag and other bits (valid, dirty, LRU).

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How does LRU function?

When the available space is full, the Least Recently Used (LRU) algorithm updates the cache. By deleting the least recently used values, it enables us to obtain the values more quickly. LRU cache is a frequently asked question that is typically asked directly but may occasionally be asked in a different way.

Why does LRU outperform FIFO?

The most recently used items are retained by LRU. FIFO only stores items that have just been added. Because there are typically items put to memory only once and never used again, as well as those introduced and utilized frequently, LRU is normally more efficient.

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