Select the outputs Y of the combination of gates shown below for inputs `A = 1,B = 0 , A = 1,B = 1` and `A = 0,B=0` respectively :-

Options

A. `(0 1 1)`
B. `(0 0 1)`
C. `(1 0 1)`
D. `(1 0 0)`

Explanation

Here `Y=bar(Q.R)=bar(Q)+bar(R)+A.P+P.B`
`Y=P.(A+B)=(bar(A.B)+(A+B)`
`Y=(bar(A)+bar(B)).(A+B)`
`Y=bar(A)_.A+bar(A).B+bar(B).A+bar(B).B`
`Y=bar(A).B+A.bar(B)`

when `A = 1,B=0`
then `Y=bar(1)-0+1.bar(0)=0.0+1.1=1`
when `A=1,B=1`
then `Y=bar(1).0+1.bar(1)=0.1+1.0=0+0=0`
when `A=0,B=0`
then `Y=bar(0).0+0.bar(0)=1.0+0.1=0+0=0`.