A computer system contains separate data cache and instruction cache of $16$KB

capacity each organized as direct mapped cache. The miss penalty for instruction

cache is $100$ ns and for the data cache is $200$ ns$.$ The CPU clock rate is $200$MHz$.$

The miss rates are $0\mathrm{.}8\%$ for instruction cache and $3\mathrm{.}4\%$ for data cache and the data

access occurs once for every $3$ instructions. The machine has a base CPI of $1.$

Calculate the total penalty in terms of CPI. $[4]$