$1.$ Cache Design

Let's assume that you have two cache designs. The first one is a $16$ KB direct mapped cache with an average miss rate of $\backslash (5\backslash \%\backslash ).$ The second cache design is a $16$ KB $8-$way set$-$associative cache with an average miss rate of $\backslash (3\backslash \%\backslash ).$ The software program has $\backslash (45\backslash \%\backslash )$ memory instructions. With the following properties, please $1)$ compare the performance of these two cache designs and $2)$ explain which cache design is better: $(30$pts$)$

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|$l$|\}$

$\backslash$hline & Direct$-$mapped Cache & $8-$way Set Associative Cache $\backslash \backslash$

$\backslash$hline Miss Rate & $\backslash (5\backslash \%\backslash )$ & $\backslash (3\backslash \%\backslash )\backslash \backslash$

$\backslash$hline Base CPI & $1$ & $1\backslash \backslash$

$\backslash$hline Cycles per hit & $1$ & $2\backslash \backslash$

$\backslash$hline Cycles per miss penalty & $12$ & $10\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$