Using Simplified$-$DES, decrypt the string $10100010$ using the key $0111111101$

by hand. Show intermediate results after each function $($IP$,$ Fk$,$ SW$,$ Fk$,$ IP$-1).$ Then decode the

first $4$ bits of the plaintext string to a letter and the second $4$ bits to another letter where we

encode A through P in base $2($i$.$e$.,$ A $=0000,$ B $=0001,...,$ P $=1111).$

Hint: As a midway check, after the application of SW$,$ the string should be $00010011.$

$($Refer to the S$-$DES example from class for the permutation and substitution tables.$)$