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

- A.
(A + C).D + B
- B.
(A + B).C + D
- C.
(A + D).C + B
- D.
(A + C).B + D
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Correct answer: A
First, observe that columns 01 and 11 are entirely filled with 1s. Since B is 1 in both columns, the term B covers these cells. Next, look at the remaining 1s where B is 0 (columns 00 and 10). In column 00, the single 1 is at row 11 (CD=11), representing CD. In column 10, the 1s are at rows 01 and 11 (CD=01 and CD=11), representing D. Combining these gives the expression (A + C)D + B.
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