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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](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 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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