Assume a $512$K bytes $2-$way set associative cache, each block is $16$ words, and each word is $4$ bytes. What is the number of blocks in this cache?

Assume a direct$-$mapped cache that has $4$ blocks, initially the cache is empty, and each block is $4$ bytes. Also, assume that the processor accesses the bytes $0$ to $316.$ What is the number of misses?

Assume that a page is $512$ K bytes, and the physical page number is $14$ bits. What is the size of the physical memory in M bytes?

Please solve this $3$ questions with the detailed and optimized solution $$