Let the output of the OR gate be Y1.
Y1=A+B
For LED-1 to glow, Y1 must be 1, which means A+B=1.
Let the output of the first AND gate be Y2.
Y2=Y1⋅C=(A+B)⋅C
Let the output of the second AND gate be Y3.
Y3=A⋅Y2=A⋅(A+B)⋅C
For LED-2 to glow, Y3 must be 1.
Simplifying the Boolean expression for Y3:
Y3=(A⋅A+A⋅B)⋅C
Y3=(A+AB)⋅C
Y3=A(1+B)⋅C
Y3=A⋅C
For Y3=1, we require A=1 and C=1.
If A=1, then Y1=1+B=1 for any value of B, satisfying the condition for LED-1 to glow.
From the given options, the combination A=1,B=0,C=1 satisfies these conditions.
Answer: A=1,B=0,C=1