Problem $3.$

Consider a word addressable memory system that has $32-$bit memory addresses for bytes, a cache with a block size of $64$ bytes, and $32-$bit words. Assume a $8-$way set$-$associative cache with an $12-$bit tag field. Determine i$)$ the number of cache sets, ii$)$ the number of cache blocks, iii$)$ the number of bits required for the cache block offset, and iv$)$ the maximum size of the main memory in this system $($in MiB$).$