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For the box shown the output D is true if and only if a majority of the inputs are true. The Boolean function for the output is:

For the box shown the output D is true if and only if a majority of the inputs are true. The Boolean function for the output is: Correct Answer D = ABC + A̅BC + AB̅C + ABC̅

The output D is true (HIGH) if and only if a majority of the inputs are true.

Input (ABC)

Output (D)

000

0

001

0

010

0

011

1

100

0

101

1

110

1

111

1

 

The output (D) = Σm(3, 5, 6, 7)

= A̅BC + AB̅C + ABC̅ + ABC

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