Q$5)$ There is a $256$ byte, $4-$way set associative cache where each cache block contains $16$ bytes on a $16-$bit processor with $\backslash (2^\{16\}\backslash )$ addressable bytes of memory. Assume that the cache is initially empty $($all valid bits are zero$).$ Suppose we are accessing the memory addresses in the order of:

$0$x$0010,0$x$0032,0$x$03$B$8,0$x$0035,0$x$0027,0$x$00$AF$.$

a$)$ How many of these address requests are hits$/$misses$?$

b$)$ What is the hit ratio?

c$)$ How many blocks are replaced?