The Cache and main memory details for a direct cache mapping function are as follows:

Cache size is $256$K Byte, Cache line size is $32$ Bytes, Main memory size is $64$ M Bytes.

Main Memory is Byte addressable.

a$)$ Find out the address split up $($number of tag bits, line bits and word offset bits$).$

b$)$ Will main memory addresses $102$CA$84$ h and $2$FECA$9$B h map to same cache line?

Explain with proper workout

c$)$ If memory location $2$D$793$B$3$ h is accessed after accessing memory location $2$D$793$A$9$ h$,$ will it be a HIT or a MISS. Explain with proper workout