Problem $3$: $[5$ points$]$ Consider a computer system with the following specifications:

Clock cycle time $($Tc$)$: $500$ picoseconds

Instructions executed $($I$)$: $8$ million

Execution time $($ET$)$: $4$ milliseconds

Calculate the following performance metrics:

$$a$)$ Clock frequency $($f$)$

$$b$)$ MIPS $($Million Instructions Per Second$)$

$$c$)$ CPI $($Cycles Per Instruction$)$

$$e$)$ Speedup, if the clock cycle time is reduced to $400$ picoseconds.

$$

Problem $4$: $[5$ points$]$ You are comparing two computer systems, System P and System Q$,$ for a specific application. System P has a clock frequency of $2$ GHz$,$ while System Q has a clock frequency of $2\mathrm{.}5$ GHz$.$ The CPI for System P is $1\mathrm{.}5,$ and the CPI for System Q is $1\mathrm{.}2.$ If both systems execute the same number of instructions for the application, which system performs better in terms of execution time?