c$)$ The main memory for a n$-$way set associative cache memory has $2$ G bytes in size. The block size in this memory system is $512$ bytes and the tag bit in this memory system is $12$ bits. The size of the cache memory is given to be $4$ Mbytes.

i$.$ Find the number of set in this cache memory system.

ii$.$ Find the value n in this n $-$way set associative cache memory.

iii. What tag number and set number are required such that the physical address $"3$A$86$BE$73$H$"$ would get a hit for the accessed data from the cache memory?