A logic circuit consists of three inputs A , B , and C . The input A and the inverted input of B (i.e., B ) are fed into a first AND gate. The input B and the inverted input of C (i.e., C ) are fed into a second AND gate. The outputs of both these AND gates are then fed into a NOR gate to produce the final output Y . Which of the following input combinations will result in an output Y = 0 ?

Step-by-step solution

Let the output of the first AND gate be P and the output of the second AND gate be Q . From the given circuit description: P = A B Q = B C The final output Y is produced by a NOR gate taking P and Q as inputs: Y = P + Q = A B + B C We are given that the desired output is Y = 0 . A B + B C = 0 This implies that A B + B C = 1 . For this condition to be true, at least one of the terms must be 1 . Case 1: A B = 1 A = 1 and B = 0 . Case 2: B C = 1 B = 1 and C = 0 . Now, let us check the given options: Option 1: A=0, B=1