1.

Minimize: F =PQ +(PR)' + PQ'R using Boolean laws.​

Answer»

MINIMIZATION of F =PQ +(PR)' + PQ'R USING BOOLEAN laws.​

  • 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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