Case $1$: Combinational logic

You are asked to design a digital electronic system for the purpose of making a game to guess a number. That is$,$the system consists of a $2-$bit input S $($S$1,$S$0)$in which a secret number will be encoded in unsigned binary code. It will also have another $2-$bit input N $($N$1,$N$0)$connected to a series of switches where the player will enter a number.

The number will be validated by pressing a pushbutton called "compare" $($C$),$which when you want to compare generates a $1($compare state$)$and when you do not want to compare generates a $0($normal state$).$When you want to compare, the circuit will indicate through a logic output if the number entered by the user is equal to the secret number S $(1$guessed$,0$not guessed$).$When not comparing, the S output remains at $0.$

$1\mathrm{.}1$Set up the truth table of the guessing checker with the given variable names S$1,$S$0,$N$1,$N$0$and C$.$

$1\mathrm{.}2$Establish the expression for S$1$and S$0.$

$1\mathrm{.}3$Draw the circuit based on two$-$level design using AND, OR and negator gates.

$*****$

Please try to do it without using ai answer, you can use graphs, diagrams, diagrams, tables, etc....

A complete, detailed and precise development is needed. Draw the circuit or the diagram