$2.$ c$.$ A computer system with Set Associative Mapping cache has the following address format:

$(13$ Points$)$

$-$ The physical memory size of this system is equal to

$-$ The main memory in this case consists of $.$ Blocks and the Block size is Bytes

$-$ The Cache memory consists of Block and Sets:

$-$ The Cache memory size is equal to bytes.

$-$ Regarding the physical address $08$BDICAFH:

This address in the cache is a part of Block number and Set number

This address is a part of Block number of the main memory.

$-$ Give any two main memory addresses in hexadecimal with different TAGs that map to the same cache set $(.$

H and i$).$

$-$ If Direct Mapping is used for this cache memory, the mapping function in this case is equivalent to set associative mapping with Blocks$/$set$.$ Draw the address mapping in this case showing the name and number of bits in each part.

$-$ If Fully Associative mapping is used for this cache memory, the mapping function in this case is equivalent to set associative mapping with Blocks$/$set$.$

$-$ If the cache access time $\backslash (\backslash$mathrm$\{$T$\}\_\{\backslash$mathrm$\{$c$\}\}\backslash )$ is $1$ ns $.$ Main memory access time is $\backslash (12\backslash$mathrm$\{$~T$\}\_\{\backslash$mathrm$\{$c$\}\}\backslash )$ and the hit ratio is $0\mathrm{.}95.$ Find the effective access time $\backslash (\backslash$mathrm$\{$T$\}\_\{\backslash$text $\{$eff $\}\}\backslash )$ of this memory system.