1. Two electronic engineers. A and B were responsible to design an electronic circuit. In the circuit design, engineer A uses the combination of gates (q vr) ^ Go va v r)) while engineer B uses the combination of gate (g v r) to produce the same logical operation. Their superior would like to check whether both (vr) Gov(avr)) and (a vr) produced the same function or not. a. By using a truth table, show that the logical operations (q vr) Gov (a v r)) and (avr) were equivalent or not? [8 marks] b. Without using the truth table, show that whether (a Vr) Gov(a vr)) and (a vr) are logically equivalent or not. [4 marks] c. If you were their superior, which gates would be chosen to be used in the circuit design? What was the reason behind for the decision? [3 marks]