Assume that the cache is direct-mapped with 16 one-word blocks. For each of the

Question

Assume that the cache is direct-mapped with 16 one-word blocks. For each of the references, identify the tag and the index (i.e. the set number). Also, list if each reference is a hit or a miss, assuming that the initial contents of the cache blocks are all invalid. Present the results in a table formatted as follows.

Caches are important for speeding up the performance of a modern memory system. Assume that each memory address contains a 32-bit entity (instruction or data), i.e. the memory is word-organized. Below is a list of 32-bit memory address references: 3,180, 43, 2,191, 88,190, 14,181, 44,186, 253

Explanation / Answer

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Memory Binaryvalue tag index hit/miss
3 00000011 0000 0011 miss
180 10110100 0010 0000 miss
43 00101011 0010 0011 miss
2 00000010 0000 0010 miss
191 10111111 1011 1111 miss
88 01011000 0101 1000 miss
190 10111110 1011 1110 miss
14 00001110 0000 1110 miss
181 10101101 1010 1101 miss
44 00101100 0010 1100 miss
186 10111010 1011 1010 miss
253 11111101 1111 1101 miss

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