Consider the following simplified block encryption scheme:

Plaintext is encrypted a byte at a time using the following steps:

$$ Step $1.$

o The plain text is expanded to $12$ bits by duplicating the first and last two

bits $($ie$,$ abcdefgh becomes aabbcdefgghh

$$ Step $2.$

o A $12$ bit sub key is XORed with the expanded text from step $1$

$$ Step $3.$

o The bit sequence from step $2$ is split into two $6$ bit sequences and fed into

the following two S$-$BOXes

$$ Step $4.$

o The output of the S$-$BOXes is concatenated and fed through a permutation

process that reverses the bit sequence order

What is the output for a plaintext input of $10010100$ and a $12$ bit sub$-$key of $10010011$

$1010?$