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:
$D=\overline{(A+B).C}=\overline{(A+B)}+C$
If $A=B=C=0$ then $D=\left(\overline{0+0}\right)+\overline{0}=\overline{0}+\overline{0}=1+1=1$
if $=B=1,C=0$ then $D=\left(\overline{1+1}\right)+\overline{0}=\overline{1}+\overline{0}=0+1=1$