Let the memoryless source W $=\{$w$1,$ w$2,...,$ w$8\}$ have word proba$-$biities $(1/4,1/4,1/8,1/8,1/16,1/16,1/16,1/16)($a$)(10$ points$)$ Compute the $($binary$)$ entropy H$($W$).$ You must explain how it was computed, not just give the final numerical answer.$($b$)(10$ points$)$ Compute the minimum among all uniquely decipherable binary encodings f : W $->\{0,1\}*$ of the average length of the code words f$($wi$).$