Assume that machine $A$ is a $5-$stage pipeline with $1ns$ clock cycle, and machine $B$ is a $10-$stage pipeline

with $0\mathrm{.}6$ ns clock cycle. The machine A experiences a stall due to a data hazard every $5$ instructions, and

the machine B experiences $3$ stalls every $8$ instructions. Also, branches constitute $30\%$ of the

instructions, and the misprediction rate for both machines is $5\%.$

a$)$ Which machine is faster, and by how much, when only considering data hazards?

b$)$ If the branch misprediction penalty for machine A and $B$ is $2$ and $5$ cycles respectively, what are the

CPIs of each machine?