Consider the following two rounds of the simplified DES algorithm $($See Figure Below$).$ The output

of the first round is $10010101,$ and K$2$ is $101011001.$ What is the output ciphertext of the second

round?

Use the following information to generate the ciphertext:

$1-$ Initial Permutation $($IP$)$: $27361854$

$2-$ Expansion$/$Permutation $($E$/$P$)$ for the right half: $24142313$

$3-$ S$-$Box implementation is as follows: Use the first and last bits to represent the row, and

the second and third bits to represent the column.

$S$

$4-$ Inverse Initial Permutation $($IP ${?}^{-1})$