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25 votes

The minterm expansion of $f(P,Q,R) = PQ +Q \bar{R}+P\bar{R}$ is

  1. $m_2+m_4+m_6+m_7$
  2. $m_0+m_1+m_3+m_5$
  3. $m_0+m_1+m_6+m_7$
  4. $m_2+m_3+m_4+m_5$
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3 Answers

Best answer
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42 votes

$PQ + QR' + PR' = PQR + PQR' + PQR' + P'QR' + PQR' + PQ'R' $

$\quad= PQR + PQR' + P'QR' + PQ'R' (111 + 110 + 010 + 100)$

$\quad =m_7 + m_6 + m_2 + m_4$

Option A.


Alternatively,
Using K-map

edited by
5 votes
5 votes
option A

=PQ(R+~R)+(P+~P)Q~R+P~R(Q+~Q)

on simplification we will get minterms as 2,4,6,7
Answer:

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