adplus-dvertising

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'
Revathi :(March 26, 2019) How the problem is solved .plz explain it
Click Here to Reply
Maneesha :(September 19, 2019) Plz explain it
Click Here to Reply
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’
Click Here to Reply
Confused About the Answer? Ask for Details Here
Know Explanation? Add it Here

Similar Questions: