For a main memory with $256$ bytes, a $32$ byte cache with $4$ byte $(1$ word$)$ blocks and $2-$ way set associativity, give the index and tag for the addresses loaded in the following and show whether the following loads is a hit You must show your work for ANY credit! hit or a miss $($tags in table given in binary$).$

index

$0$

$1$

Way $1$ Tag

Way $2$ Tag

$0101$

$1010$

$1100$

$0110$

$2$

$3$

$0010$

$0000$

$0011$

$1001$

i$)$ load word from byte address $68($decimal$)$

ii$)$ load word from byte address $148($decimal$)$For iv$.-$vi$.$ assume a memory of $16$MB $(16*2^20$ bytes$)$ and a cache size of $512$kB $(512*2^10$ bytes$).$

iv$)$ Assume a $16-$way associative cache with $1$ MIPS$-$word blocks. Explain which bits of memory address are used for tag, index and offset.

v$)$ Assume an $8-$way associative cache with $4$ byte blocks. Explain which bits of memory address are used for tag, index and offset.

vi$)$ Assume a $32-$way associative cache with $4$ byte blocks. Which set would the word at memory address $10978$h be placed in $($in orther words, what index would it use$)?$