$1.$ Your first task is to decode the hexadecimal message FA$41086$EF$9153$F to recover its original ASCII bit sequence. Do this by changing the hex to binary bits, and then XOR this bit sequence with a PRN produced using a polynomial and initial fill combination that provides what are plausibly ASCII characters. It is your job to search, by trial and error or more clever techniques $($perhaps an exhaustive MatLab or Excel search$)$ for the shift register sequence that was originally used to encrypt the ASCII bit sequence. Once this is accomplished, convert the eight$-$bit ASCII words to alphanumeric characters $($e$.$g$.,$ letters of the alphabet$).$ Then, shift the letters within the alphabet to identify a word that is plausibly a real word in the English language.