a) Given that the memory address consists of 64 bits, consider a 64 KB fully associative cache (1 KB = 1024 bytes) with 64-byte cache blocks and a write back policy is used. Compute the total number of bits required to store the valid, modified, and tag bits in the cache.

b) Assume that the memory address consists of 64 bits, and a 64 KB 4-way set associative cache with 64-byte cache blocks is used. Find the number of tag bits, index bits, and offset bits needed.