Discussion Forum
Que. | The simplified SOP (Sum Of Product) form of the boolean expression (P + Q' + R') . (P + Q' + R) . (P + Q + R') is |
a. | (P'.Q + R') |
b. | (P + Q'.R') |
c. | (P'.Q + R) |
d. | (P.Q + R) |
Answer:(P + Q'.R') |
Ritika :(June 21, 2021)
(P+Q'+R').(P+Q'+R).(P+Q+R')
=(P+R`)(Q+Q`)(P+Q`+R) =P+PR+PQ`+R`P+R`Q` =P(1+Q`)+R`P+R`Q` =P(1+R`)+R`Q` =P+R`Q` |
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Ritika Pravakar :(June 21, 2021)
(P+Q'+R').(P+Q'+R).(P+Q+R')
=(P+R`)(Q+Q`)(P+Q`+R) =P+PR+PQ`+R`P+R`Q` =P(1+Q`)+R`P+R`Q` =P(1+R`)+R`Q` =P+R`Q` |
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