Question

PART B QUESTION 4 INPUT P Q R G1 G2 G3 G4 OUTPUT A Figure Q4 (a): A logic gate system (a) Figure Q4(a) shows a logic gate system. For each of the following labelled logic gates, identify their type and write out their truth table with the minimum input accordingly. (i) Logic gate G1 (ii) Logic gate G2 (iii) Logic gate G3 (iv) Logic gate G4 [6 marks] (b) Based on Figure Q4(a), derive the Boolean expression for the system output, A. [4 marks] (c) Simplify your answer in Question 4(b) using De Morgan’s theorem or other appropriate rules. [4 marks]

          PART B

QUESTION 4

INPUT
P
Q
R
G1
G2
G3
G4
OUTPUT
A

Figure Q4 (a): A logic gate system

(a) Figure Q4(a) shows a logic gate system. For each of the following labelled logic gates, identify their type and write out their truth table with the minimum input accordingly.
(i) Logic gate G1
(ii) Logic gate G2
(iii) Logic gate G3
(iv) Logic gate G4
[6 marks]

(b) Based on Figure Q4(a), derive the Boolean expression for the system output, A.
[4 marks]

(c) Simplify your answer in Question 4(b) using De Morgan’s theorem or other appropriate rules.
[4 marks]

PART B

QUESTION 4

INPUT
P
Q
R
G1
G2
G3
G4
OUTPUT
A

Figure Q4 (a): A logic gate system

(a) Figure Q4(a) shows a logic gate system. For each of the following labelled logic gates, identify their type and write out their truth table with the minimum input accordingly.
(i) Logic gate G1
(ii) Logic gate G2
(iii) Logic gate G3
(iv) Logic gate G4
[6 marks]

(b) Based on Figure Q4(a), derive the Boolean expression for the system output, A.
[4 marks]

(c) Simplify your answer in Question 4(b) using De Morgan’s theorem or other appropriate rules.
[4 marks]

Added by Karen M.

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