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 [6 pts] a. For each of these references, identify the binary address, the tag, and the index given a directmapped cache with 16 one-word blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. Show all your work. Word Address Binary Address Tag Index Hit/Miss 3 180 43 2 191 88 190 14 181 44 186 253 b. For each of these references, identify the binary address, the tag, and the index given a directmapped 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. Show all your work. Word Address Binary Address Tag Index Hit/Miss 3 180 43 2 191 88 190 14 181 44 186 253