Discussion Forum
| Que. | If P, Q, R are Boolean variables, then (P + Q')(PQ' + PR)(P'R' + Q') simplifies |
| a. | PQ' |
| b. | PR' |
| c. | PQ' + R |
| d. | PR'' + Q |
| Answer:PQ' |
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Revathi :(March 26, 2019)
How the problem is solved .plz explain it
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Maneesha :(September 19, 2019)
Plz explain it
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Mithu :(October 18, 2021)
= (P + Q’)(PQ’ + PR)(P’R’ + Q’)
= (PPQ’ + PPR + PQ’Q’ + PQ’R) (P’R’ + Q’) = (PQ’ + PR + PQ’ + PQ’R) (P’R’ + Q’) = (PP’Q’R’ + PP’R’R + PP’Q’R’ + PP’Q’RR’ + PQ’Q’ + PQ’R + PQ’Q’ + PQ’Q’R) = (0 + 0 + 0 + 0 + PQ’ + PQ’R + PQ’ + PQ’R) = PQ’ + PQ’R = PQ'(1 + R) = PQ’ |
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