A bank has a highly secure safety deposit section. The door to the safety deposits is called the "Safe Door". The Safe Door has 4 locks labelled L_A, L_B, L_C, and L_D and 4 keys labelled K_A, K_B, K_C and K_D. Inserting the correct key into the correct lock generates a logic "1" value for the corresponding signal A, B, C, or D respectively. The Safe Door can only be opened by having the key A and the majority or all of the other keys inserted into their respective locks. If any key is inserted into its corresponding lock without the key A first having been inserted into the A lock (L_A), then an alarm is sounded. The "door open" signal is represented by F and the "alarm" signal is represented by G. i) Draw a truth table and obtain the values for two outputs F and G as a function of inputs: A, B, C, and D. ii) Simplify the logic represented in the truth table using a K-map. iii) Show how you would implement the F function using only three 2-input OR gates and one 4input AND gate. iv) Show how you would Implement the G function using only one 3-input OR gate, one NOT gate, and one 2-input AND gate