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Choose the correct option.
The POS expression for X(A,B,C,D) will be:
The POS expression for $X(A,B,C,D)$ will be:
- (i)$F(A,B,C,D) = \sum(3, 5, 7, 11, 12, 13, 14, 15)$
- (ii)$F(A,B,C,D) = \pi(3, 5, 7, 11, 12, 13, 14, 15)$
- (iii)$F(A,B,C,D) = \pi(0, 1, 2, 4, 6, 8, 9, 10)$
- (iv)$F(A,B,C,D) = \sum(0, 1, 2, 4, 6, 8, 9, 10)$
Show the case
A school intends to select candidates for an Inter school competition as per the criteria given below:
• The student has participated in an earlier competition and is very creative
Or
• The student is very creative and has excellent general awareness, but has not participated in any competition earlier
Or
• The student has excellent general awareness and has won prize in an inter-house competition
The inputs are:
(In all the above cases 1 indicates yes and 0 indicates no).
Output: X [1 indicates yes and 0 indicates no for all cases].
| Inputs | |
|---|---|
| A | Participated in a competition earlier |
| B | Is very creative |
| C | Won prize in an inter house competition |
| D | Has excellent general awareness |
Answer
Answer
Correct option: (iii)
Answer: (iii) $F(A,B,C,D) = \pi(0, 1, 2, 4, 6, 8, 9, 10)$
X = AB + A'BD + CD, which is 1 for minterms 3,5,7,11,12,13,14,15. The POS form lists the remaining maxterms 0,1,2,4,6,8,9,10.