There are four people on a TV game show. Each has a ‘Yes/No’ button for recording opinions. The display must register ‘Yes’ or ‘No’ according to a majority vote.

(a) Derive a truth table for the above.

(b) Write down the Boolean expression for the output.

(c) Simplify this expression and suggest a suitable circuit.

(d) If there is a tie, the host has a ‘casting vote’. Modify the above circuit to indicate this.