Simplify the following Boolean functions and sketch the logic block corresponding to both the given and simplified

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Simplify the following Boolean functions and sketch the logic block corresponding to both the given and simplified functions:

(a) (pq+p.) (P+) (p+q) (b) F.P. +Fpq+r.pq (c) pq+r.p.s+p.q.s (d) (p+q) (p + r) + r.(p+qr) (e) (p+q) (p + q).

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