Suppose a computer using direct mapped cache has $232$ words of main memory and a cache of $512$ blocks, where each cache block contains $32$ words. $(5$ pts each$)$

How many blocks of main memory are there?

What is the format of a memory address as seen by the cache, that is$,$ what are the

sizes of the tag, block, and word fields?

To which cache block will the memory reference $000063$FA$16$ map?

What is the format of a memory address as seen by the cache if the cache is $32-$way set$-$associative instead of direct?$$ What are the sizes of the tag, set, and word fields?

What is the format of a memory address as seen by the cache if the cache is fully$-$associative?