Let us consider the f$-$Function used in the DES algorithm. Suppose input to this function is the $32-$bit input expressed in hexadecimal as $$ABCD$1234,$ you need to determine the $32-$bit output of the function expressed in hexadecimal representation. The $48-$bit key to the function is $123456789$ABC$$ in hexadecimal.

Complete the following steps to get the output:

Step $0$: $32-$bit input $($in binary$)$ is $-$

Step$1$: Expansion is $-$

Step$2$: Key in Binary is $-$

Step$3$: Apply S$-$boxes S$1-$S$8$

$1.$ Output $($in decimal$)$ is

$2.$ Output $($in binary$)$ is

$3.$ Output $($in Hexadecimal$)$ is

$4.$ Permutation, the output $($in binary$)$ is

$5.$ The output expressed in hexadecimal representation is