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Choose the correct option.
The reduced expression of the Boolean function given above is:
- (i)$(B + C) \cdot (B + D) \cdot (A' + D)$
- (ii)$BC + BD + A'D$
- (iii)$AB' + C'D' + B'D'$
- (iv)$(A + B') \cdot (C' + D') \cdot (B' + D')$
Show the case
Reduce the given Boolean function $F(A,B,C,D) = \pi(3,4,5,6,7,11,13,15)$ by using 4-variable Karnaugh map and answer the following questions:
Answer
Answer
AICorrect option: (iv)
Answer: (iv) $(A + B') \cdot (C' + D') \cdot (B' + D')$
The three quads give $(A+B')$ (4,5,6,7), $(B'+D')$ (5,7,13,15) and $(C'+D')$ (3,7,11,15).
From ISC 2022 Computer Science - Specimen paper (Semester 1), Paper 1, question 23(b).
Check your working with the Boolean algebra solver: the steps law by law, the K-map and the logic circuit for any expression.