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14 votes
14 votes

Consider the Boolean function $z(a,b,c)$.

 Which one of the following minterm lists represents the circuit given above?

  1. $z=\sum (0,1,3,7)$
  2. $z=\sum (1,4,5,6,7)$
  3. $z=\sum (2,4,5,6,7)$
  4. $z=\sum (2,3,5)$
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4 Answers

Best answer
18 votes
18 votes

From given circuit $z=a+b'c$

K-Map for the above expression is:

Minterms are $\sum(1,4,5,6,7)$

Hence, option (B) is correct

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3 votes
3 votes

Option B. z=∑(1,4,5,6,7)

a + b’c

              a   b   c

  a :        1  Φ  Φ = (4,5,6,7)  [Φ = 0/1]

  b’c :     Φ  0   1 = (1,5)

=> Minterms are ∑(1,4,5,6,7)

 

1 votes
1 votes

Z = a+b’c

K MAP for the expression;

    1 1
1   1 1

     

  (1,4,5,6,7)

Answer:

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