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Minimize: F= PQ + (PR)' +PQ'R using Boolean laws.
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Answer:
Given,
F =PQ +(PR)' + PQ'R
F = PQ (R+R') +(PR)' + PQ'R (∵ R+R' = 1)
F = PQR + PQR' +(PR)' + PQ'R
F = PR (Q+Q') + PQR' + (PR)'
F = PR + PQR' +(PR)'
F = 1 + PQR' [∵ PR + (PR)' = 1]
∴ F = 1 + PQR'
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