Problem $1(14$ pts$)$

Computer $1($C$1),$ with a clock rate of $2GHz,$ runs a program in $80$ seconds. Computer $2($C$2),$ with a

clock rate of $4GHz,$ runs the program in $20$ seconds. The number of instructions is the same for both

computer $1($C$1)$ and computer $2($C$2).$

a$)$ What is the number of clock cycles executed by computer $2($C$2)?$

b$)$ If the average CPI for computer $1(C1)$ is $8,$ what is the average $\frac{C}{P}$I for computer $2($C$2)?$

Problem $2(12$ pts$)$

A computer executes a benchmark which has $25\frac{{10}^6}{\text{I}}NT$ instructions, $55{10}^{6}FP$ instructions, $40x$

${10}^6\frac{L}{S}$ instructions and $10{10}^6$ Branch instructions. The CPI for each type of instruction is $4,16,12,$

and $8,$ respectively. Assume that the processor has a $2GHz$ clock rate.