The Boolean function with the Karnaugh map

2017

The Boolean function with the Karnaugh map

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  1. A.

    (A + C).D + B

  2. B.

    (A + B).C + D

  3. C.

    (A + D).C + B

  4. D.

    (A + C).B + D

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Show answer & explanation

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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