For the given logic circuit, which of the following inputs combination will make both LED-1 and LED-2 to glow? [figure]
- A = 0, B = 1, C = 1
- A = 1, B = 0, C = 0
- A = 1, B = 0, C = 1
- A = 1, B = 1, C = 0
Answer
(3) A = 1, B = 0, C = 1
Solution
OR gate: Y1=A+B ⇒ LED-1 glows when A+B=1
First AND gate: Y2=Y1 C=(A+B) C
Second AND gate: Y3=A Y2=A (A+B) C
∵ A (A+B)=A+AB=A ⇒ Y3=A C ⇒ LED-2 glows when A=1 and C=1
With A=1, Y1=1 automatically ⇒ both LEDs glow for A=1, C=1 (B any).
Check options: (1) A=0 ✗; (2) C=0 ✗; (3) A=1, B=0, C=1 ✓; (4) C=0 ✗
Answer: (3)