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Question 1 : Caches are important to providing a high-performance memory hierarchy to processors.

19 / 01 / 2019 Maths

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Question 1 : Caches are important to providing a high-performance memory hierarchy to processors. Below is a list of 32-bit memory address references, given as word addresses. 
3, 180, 43, 2, 191, 88, 190, 14, 181, 44, 186, 253 

a >>  For each of these references, identify the binary address, the tag, and the index given a direct-mapped cache with 16 one-word blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. 
b >> For each of these references, identify the binary address, the tag, and the index given a direct-mapped cache with two-word blocks and a total size of 8 blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. 
Question 2 :  For a direct-mapped cache design with a 32-bit address, the following bits of the address are used to access the cache. 



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