Question $5(48\%)-$ Consider the following Boolean functions: F$\_(1)($x$,$y$,$z$,$w$)()/($b$)=$ar $($w$)$x$(/$bar $($z$)(+)/($b$)$ar $($y$)$z$)+$x$($w$(+)/($b$)$ar $($w$)$yz$)$ F$\_(2)($A$,$B$,$C$,$D$)=$ABC$^(\text{'})$D$+$A$^(\text{'})$BD$+$ABCD F$\_(3)($x$,$Y$,$Z$)=$x$.$Y$+$x$($Z$(+)/($b$)$ar $($Y$))$ For each function, you need to do the following: a$.$ Simplify the function to the minimum number of terms? b$.$ Show the truth table that represents the simplified function. c$.$ Build the logic circuit that represents the simplified function?