Question 2 (a) Obtain the minimum SOP expression for the Karnaugh map in Figure 2(i) and...

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Question 2 (a) Obtain the minimum SOP expression for the Karnaugh map in Figure 2(i) and minimum POS expression for the Karnaugh map in Figure 2(ii). A is the MSB. CD AB 00 01 11 10 00 0100 01 011 1 11 111 1 10 0000 ВС 00 01 11 10 A 0 0011 1100 1 Figure 2(i) Figure 2(ii) (b) A function F(A,B,C,D) = Em(3, 4, 5, 7, 13, 15) and the minimum SOP expressi is B.C+B.D+A.D. Identify the possible don't cares that may have existed. [4 mark (c) Figure 2(ii) shows a block diagram of a car alarm system. The inputs or switches which detect the following: E- Engine, HIGH when it is tumed on. L-Front light, HIGH when it is turned on. D- Door, HIGH when it is closed. B - Seat belt, HIGH when it is fasten. A В Figure 2(iii) The output A is a buzzer which will emit a sound (HIGH) when any of the following conditions occur: 1. Engine is off, the front light is on and the door is opened. 2. Engine is on and the seat belt is not fasten. 3. Engine is on, the seat belt is fasten but the door is opened. Design the system and implement it in NAND-NAND configuration using minimum number of gates. Question 2 (a) Obtain the minimum SOP expression for the Karnaugh map in Figure 2(i) and minimum POS expression for the Karnaugh map in Figure 2(ii). A is the MSB. CD AB 00 01 11 10 00 0100 01 011 1 11 111 1 10 0000 ВС 00 01 11 10 A 0 0011 1100 1 Figure 2(i) Figure 2(ii) (b) A function F(A,B,C,D) = Em(3, 4, 5, 7, 13, 15) and the minimum SOP expressi is B.C+B.D+A.D. Identify the possible don't cares that may have existed. [4 mark (c) Figure 2(ii) shows a block diagram of a car alarm system. The inputs or switches which detect the following: E- Engine, HIGH when it is tumed on. L-Front light, HIGH when it is turned on. D- Door, HIGH when it is closed. B - Seat belt, HIGH when it is fasten. A В Figure 2(iii) The output A is a buzzer which will emit a sound (HIGH) when any of the following conditions occur: 1. Engine is off, the front light is on and the door is opened. 2. Engine is on and the seat belt is not fasten. 3. Engine is on, the seat belt is fasten but the door is opened. Design the system and implement it in NAND-NAND configuration using minimum number of gates.