A byte-addressable system with 16-bit addresses ships with a three-way set associative, write-back cache (i.e., each block needs a dirty bit). The cache implements a true LRU replacement policy using the minimum number of replacement policy bits necessary to implement it, which means it requires 3 bits per set. The tag store requires a total of 264 bits of storage. What is the block size of the cache? (Hint: 264 = 2^8 + 2^3 and please also do not forget that aside from the tag itself, each block needs 1 valid bit, 1 dirty bit).
