(Solved): 3. The nation of Upper Slobovia has gained a missile defense capability governed by its Security C ...

3. The nation of Upper Slobovia has gained a missile defense capability governed by its Security Council. The Council consists of four members: The U.S. (Upper Slobvian) President, two Counselors (the Chiefs of Staff of the Navy and Air Force) and the President's Uncle, Homer. The missile system is to be activated by a device obeying these rules: Each member of the Security Council has a button to push; the missiles will fire if the president and at least one Counselor push their button or if Uncle Homer and both Counselors push their buttons. Design the rocket firing circuitry. To do so, you will need to create a logic gate circuit that that takes as inputs the status of the buttons that are pushed and produces an output of when the rockets will be fired. a) Create a truth table that reflects the appropriate input and output values b) From this truth table, create a Boolean expression in disjunctive normal form c) Create a Karnaugh Map for the expression in part \( b \) d) Use the Karnaugh Map to reduce the expression to a simpler form e) With the simple expression from part d, draw a gated logic circuit for the control unit.