$1.[$A Human Compiler$]$: A computer scientist must understand how algorithms work. Compile each of the following algorithms.

$($a$)[10$ points$]$ Execute the "MULTIPLY algorithm" on the given binary numbers, showing the input and the output for each algorithm call. $($The order of calls matters! See page $18$ of $05$DivideAndConquerII for reference.$)$

$($b$)[10$ points$]$ Execute the "KARATSUBA$-$MULTIPLY algorithm" on the given binary numbers, showing the input and the output for each algorithm call. $($The order of calls matters! See page $21$ of $05$DivideAndConquerII for reference.$)$

$($c$)[10$ points$]$ Execute the "STRASSEN algorithm" for the given matrices, showing the input and the output for each algorithm call. $($The order of calls matters! See page $32$ of $05$DivideAndConquerII for reference.$)$