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

Options

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

Answer

D

Explanation

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`