Each S$-$box inside DES's F$-$function maps a $6-$bit input to a $4-$bit output. Suppose a $6-$bit

binary $001011$ is entered into S $4,$ where S $4$ is given below:

what is the $4-$bit output? $(10$ points$)$

The last step in the F function in each round of DES is a permutation $P$ that shuffles $32$

bits. If the right half is indicates what follows is in hex$)$ before

permutation $P,$ where the permutation $P$ is given below $(10$ points$)$

$($d$)$ Permutation Function $($P$)$

What is the result after permutation $P($in hexadecimal format$)?$