a$)$ Calculate the effective CPI $($Clock Per Instruction$)$ for a CPU which uses separate caches for instructions and data with different miss rates and miss penalty for instruction and data accesses, such that : the data cache miss penalty is $220$ cycles and the instruction cache miss penalty is $199$ cycles. CPI execution is given as $1\mathrm{.}3,$ and $44\%$ of the instructions are load$/$store mix. The miss rate for instruction fetch and data cache is $1\%$ and $8\%,$ respectively.

b$)$ What would be the CPI for a computer system similar to $($a$),$ but with ideal cache $($ no misses$)?$

c$)$ What would be the CPI for a computer system similar to $($a$),$ but doesn't use any cache?