The function represented by the k -map... - Solved

Question 26

Computer Awareness Binary Logics Hard

The function represented by the k -map given below is

(A) \( \mathrm{BC}+\mathrm{AB}+\mathrm{AC}^{\prime} \)

(B) \( \mathrm{BC}^{\prime}+\mathrm{AB}+\mathrm{AC}^{\prime} \)

(C) \( (B \oplus C)^{\prime} \)

(D) \( \mathrm{A} \cdot \mathrm{BC} \)

✓ Correct Answer: Option B Verified Solution

Read the K-map (rows C, columns AB). The 1s are at:

C = 0: AB = 01, 11, 10, that is, \(\bar{A}B\bar{C}\), \(AB\bar{C}\), \(A\bar{B}\bar{C}\)
C = 1: AB = 11, that is, \(ABC\)

Groups:

\(F = B\bar{C} + AB + A\bar{C}\)

Answer: (B)

Full-Length Test Series

Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.