$1.$ mentioned in Exercise $1$ As$\mathrm{.}4$ solved in class, cell phones run a wide variety of applications. Well make the same assumptions for this exercise as the previous one, that it is $0\mathrm{.}5$W per core and that a quad core runs email $4$x as fast $($not $8$ times as in the original problem$).$

a$.$ Imagine that $75\%$ of the code is parallelizable. By how much would the frequency and voltage on a single core need to be increased in order to execute at the same speed as the four$-$way parallelized code $($that is you need achieve the same speedup as $4$ cores with $75\%$ parallizable code, using a single core$).$

b$.$ What is the reduction in dynamic energy from using frequency and voltage scaling in part a$?$ What we are looking at is a comparison of energy consumed by $4$ cores vs a single core with faster clock.