$0$ points$)$ Suppose a computer has $2^32$ bytes of byte$-$addressable main memory and a cache size of $2^16$ bytes, and each cache block contains $128$ bytes. a$.$ How many blocks of main memory are there? $()$ b$.$ How many blocks of cache memory are there? $()$ c$.$ If this cache is direct$-$mapped, what is the format of a memory address as seen by the cache; that is$,$ the size of the tag field $(),$ the size of block field $(),$ and the size of the o$^$set field $().$ d$.$ If this cache is fully associative, what is the format of a memory address as seen by the cache; that is$,$ the size of the tag field $(),$ and the size of the o$^$set field $().$ e$.$ If this cache is $4-$way set associative, what is the format of a memory address as seen by the cache; that is$,$ the size of the tag field $(),$ the size of set field $(),$ and the size of the o$^$set field $().$ f$.$ If this cache is $16-$way set associative, what is the format of a memory address as seen by the cache; that is$,$ the size of the tag field $(),$ the size of set field $(),$ and the size of the o$^$set field