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Question 1[6 Marks]
Consider the following boolean expression:
(A AND NOT B) OR (B AND NOT A)
(a).
Construct a truth table for the boolean expression above.
[4]
(b).
Hence or otherwise, state the simple boolean expression composed of only one logical operator which is logically equivalent to the boolean expression above.
[2]
Question 2[4 Marks]
(a).
Construct a truth table for the logic diagram represented below.
[2]
Question Image
(b).
What single gate is logically equivalent to the configuration represented in part (a)?
[1]
(c).
If, in part (a), the OR gate was replaced by an AND gate to produce the logic diagram below, what single gate would it then become logically equivalent to?
[1]
Question Image
Question 3[4 Marks]
Construct both a logic diagram and truth table for the following expression:
NOT A OR A AND B
Question 4[4 Marks]
Construct both a logic diagram and truth table for the following expression:
A AND (A OR NOT B)

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