Question

For the given combination of gates, if the logic states of inputs A, B, C are as follows A = B = C = 0 and A = B = 1, C = 0 then the logic states of output D are

• A. 0, 0
• B. 0, 1
• C. 1, 0
• D. 1, 1

Answer 1

Answer: (D)

1, 1

Answer 2

The output D for the given combination

$D = \overline{(A + B).C} = \overline{(A + B)} + \bar{C}$

If $A = B = C = 0$then $D = \overline{(0 + 0)} + \bar{0} = \bar{0} + \bar{0} = 1 + 1 = 1$

If $A = B = 1$,$C = 0$then $D = \overline{(1 + 1)} + \bar{0} = \bar{1} + \bar{0} = 0 + 1 = 1$