Question

To get output 1 for the following circuit, the correct choice for the input is.

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

Answer 1

Hint: The leftmost fate of the Circuit is an OR gate and on the right is AND gate. For the OR gate to give a positive output, either of the input should be 1 or on. The output of the OR gate would be (A+B). For the AND gate to give a positive output both of the input terminals should be 1. The output of the AND gate would be Y=(A+B)C.

Complete step by step answer:
This is a logic gate circuit. Here the inputs are to be given from the terminals A, B and C and the output will be at the terminal Y.
Let us start by identifying the gates. The leftmost fate of the Circuit is an OR gate and on the right is AND gate.
For the OR gate to give a positive output, either of the input should be 1 or on. The output of the OR gate would be (A+B)
For the AND gate to give a positive output both of the input terminals should be 1. The output of AND gate would be
Y=(A+B)C
Now we need Y to be 1
So (A+B) and C should both be equal to 1
C=1
For (A+B) to be 1 either or both A and B should be 1
A=1 B=1 or A=1 B=0 or A=0 B=1
Out of the options given in the questions option D would given output as 1

So, the correct answer is “Option D”.

Note: Logical Gates are used extensively in the digital and computerised world. They are the basic building block of any electrical chip. A computer chip comprises thousands of gates embedded in silicon chips and the combination of these logic gates helps the computer perform its tasks.