Chapter $3$: Problem $2$

$(1$ point$)$ This question concerns the DES S$-$boxes.

Please enter all answers in decimal.

Consider the two $6-$bit numbers $x_1=111110$ and $x_2=000001.$

What is $S1(x_1)?($in decimal$)$

What is $S1(x_2)?($in decimal$)$

What is $S1(x_{1}o+x_2)?($in decimal$)$

What is $S1(x_1)o+S1(x_2)?($in decimal$)$

This shows that $S1$ is non$-$linear with respect to $x_1$ and $x_2.$