Q$3](40$ points$)($Chapter $4$ Combinational Logic $$ Design Procedure: you are given

a description of a logic circuit, and you work on designing the logic circuit that achieves

that description$).$

Suppose that you are asked to schedule a meeting for $6$ individuals whose names are Ali,

Bilal, Chadi, Dalal, Elias and Fatima. The meeting must be scheduled so that the

following rules are satisfied:

The input variables are $A($For Ali$),$ B $($For Bilal$),C($For Chadi$),D($For

Dalal$),E($For Elias$)$ and $F($for Fatima$).$ Each variable is a Boolean variable

$($i$.$e$.$ it can have one of two values $\text{'}0\text{'}$ or $\text{'}1\text{'}.$

Exactly one of Ali and Bilal must be in the meeting.

Chadi and Dalal must be present in the meeting together. If Chadi is not

available, Dalal and Fatima must be in the meeting together. However, all three

of Chadi, Dalal and Ftima must not be present together.

Elias is the manager of the group, so he must be present at the meeting.

Each of one of the $6$ team members indicates to you their availability for the

meeting.

$A=1$ indicates that Ali can attend the meeting. $A=0$ means that Ali cannot

attend. Similarly for variables B$,$ C$,$ D$,$ E$,$ and F $($where each variable

corresponds to the first letter of the name of one of the team members$).$

The output $g=1$ indicates that the meeting can be scheduled, while $g=0$

indicates that it cannot.

You are required to:

Draw a logic circuit with a single output $g,$ such that $g$ is equal to $\text{'}1\text{'}$ whenever

the meeting can be scheduled. Draw the logic circuit using only logic gate types we discussed in class$($and$-$or$-$not$-$nor$-$nand$-$xnor$)$

Derive the output Boolean function $($g$).$

Construct the detailed truth table for the output function g$.$