Question $2$: Calculate the following $($Write the complete solution line$-$by$-$line, include the used equations and units$).$

$1.$ Consider two computers, Computer A and Computer B$,$ that are being compared based on their performance in executing a particular program. Computer A has a clock cycle time of $300$ picoseconds $($ps$)$ and a Cycles Per Instruction $($CPI$)$ of $1\mathrm{.}8,$ while Computer B has a clock cycle time of $600$ nanoseconds $($ns$)$ and a CPI of $1\mathrm{.}3.$

$-$ Which computer is faster in executing the program, and by how much?

$2.$ Suppose you are designing a new processor, and your goal is to achieve a $20\%$ reduction in execution time over the current design. If the current design has a clock rate of $3$ GHz$,$ what should be the target clock rate if the CPI increases by $10\%$ in the new design?

$3.$ Consider two instruction sequences for a program running on a CPU with a clock rate of $3$ GHz$.$ Sequence $1$ has an instruction count of $1$ million and an average CPI of $2\mathrm{.}0.$ Sequence $2$ has an instruction count of $800,000$ and an average CPI of $2\mathrm{.}5.$

$-$ Calculate the total CPU execution time for each sequence and determine which sequence is more efficient.