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

The correct option is D 1, 1

The output D for the given combination
$D=\overline{(A+B).C}=\overline{(A+B)}+\overline{C}$
If A=B=C=0 then $D=\overline{(0+0)}+\overline{0}=\overline{0}+\overline{0}$ = 1 + 1 = 1
If A=B=1,C=0 then $D=\overline{(1+1)}+\overline{0}=\overline{1}+\overline{0}$ = 0 + 1 = 1