1.

Verify the following using Boolean LawsP’+Q’.R=P’.Q’.R’+P’.Q.R’+P’.Q.R+P’.Q’.R+P.Q’.R

Answer»

L.H.S P' + Q' R

= P' (Q + Q') (R + R') + Q'R (P + P')    (Simplification)

= P'QR + P'QR' + P'Q'R + P'Q'R' + PQ'R +  P'Q'R

= P'QR + P'QR' + P'Q'R + P'Q'R' + PQ'R

=P'Q'R' + P'Q'R' + P'QR + P'Q'R + PQ'R

=R.H.S



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