Draw switching circuits to establish the truth of the following laws: Use these to simplify the expression

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Draw switching circuits to establish the truth of the following laws:

(a) pp.q=P (b) p + p.q=p+q (c) p q +p.r = p. (q +r) (d) (p + q) (p + r)=p+q.r

Use these to simplify the expression

s = p.p+p.q + pr + q. r

so that s only contains two pairs of products added.

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