Circuit Inspection

Assume that a combinational circuit with $4$ inputs $\{A,B,C,D\}$ and $2$ outputs $\{F,G\}$ has been defined as follows,

using a hierarchical approach with interim $($i$.$e$.$ first stage output$)$ line values $\{T1,T2,T3,T4\}$ defined by:

$T1=B^{\text{'}}C,T2=A^{\text{'}}B,T3=A+T1,T4=DorT2,$

and the final outputs $\{F,G\}$ by:

$F=T3+T4,G=D^{\text{'}}+T2$

Question $3.$

List the truth table for all possible inputs $\{A,B,C,D\}$ and also the interim values of $\{T1,T2,T3,T4\}$ and finally,

$\{F,G\}.$ There should be $16$ rows and $10$ columns in your truth table.

Question $4.$

Plot the truth tables, using K$-$maps, to determine if the circuit expressions for $F$ and $G$ can be simplified further.

Question $5.$

Which expression$($s$)$ minimize the number of literals? $($Hint: Compare k$-$map result with circuit expressions for $F$

and G$)$