pls make sure the solution is correct. thanks

Objective:

Derive a truth table and sum$-$of$-$products representation for the function describing the operation

of the $4-$channel multiplexor shown in P&H Fig B$\mathrm{.}5\mathrm{.}10($above$).$

Please produce the following:

$$ A truth table $($ASCII format$)$ for this function

$$ A Sum$-$of$-$Products representation for this function.

In your Sum$-$of$-$products

representation, please use the following C$++$ conventions for describing boolean

operations:

$!$A $=$ NOT $($A$)$

$$ A && B $=$ A AND B

$$ A $||$ B $=$ A OR B

$$ Precedence:

$$ NOT has highest precedence

$$ Assume AND and OR have equal precedence: use parentheses as

needed to indicate the order of operations

$$ Note: failure to use C$++$ conventions for boolean operations and$/$or failure to

indicate operator precedence with parentheses will result in a deduction.

Hints

$****$We are interested in the truth table ONLY for the inputs to the multiplexor.$*****$

In your writeup, please identify the inputs clearly. E$.$g$.,$ The output from the AND gate is labeled

as A$,$ the output from the OR gate is labeled B$,$ and so forth.

Unlike the previous problem for the two$-$input mux where S $($the selector$)$ was binary, here S is a

$4-$valued thing, so you need to figure out how to map from a $4-$valued thing into a form suitable

for use in a truth table.