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Question

Question: For the given combination of gates, if the logic states of inputs A, B, C are as follows A = B = C =...

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, 1

Explanation

Solution

The output D for the given combination

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

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

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