The Boolean function with the Karnaugh map is :
2017
The Boolean function with the Karnaugh map

is :
- A.
(A+C).D+B
- B.
(A+B).C+D
- C.
(A+D).C+B
- D.
(A+C).B+D
Attempted by 179 students.
Show answer & explanation
Correct answer: A
Solution:
Group the two middle columns (AB = 01 and AB = 11). These columns are all ones, giving the term B.
Group the entire row where C = 1 and D = 1 (CD = 11). This gives the term C·D.
The remaining uncovered 1s require A·D (these occur when A = 1 and D = 1 while B = 0 and C = 0).
Combine the terms: B + C·D + A·D.
Factor D from the last two terms:
B + D·(A + C)
Final simplified expression: (A + C)·D + B.
This matches the given Karnaugh map and is a minimal form obtained by grouping columns and the CD row, then covering remaining 1s.