A logic circuit is shown.

a) Write the Boolean expression corresponding to this logic circuit.
b) Copy and complete the truth table for this logic circuit.

c) i) Copy and complete the Karnaugh map (K-map) for the truth table in part b).

The K-map can be used to simplify the function in part a).
ii) Draw loops around appropriate groups to produce an optional sum-of-products.
iii) Write a simplified sum-of-products expression, using your answer to part ii).
d) One Boolean identity is:
(A + B).C = A.C + B.C
Simplify the expression for S in part a) to the expression for S in part c) iii). You should use the given identity and De Morgan’s Laws.

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