Answer

Verified

18.6k+ views

**Hint:**For AND gate to give the output as one, the two inputs must be equal to one too. For an OR gate to give the output as one, only one of the inputs is necessary to be equal to 1, the other can either be one or zero.

**Complete Step-by-Step Solution:**

In the given logic circuit, we see that an OR gate is connected to one of the inputs of an AND gate, and another input is connected to the AND gate, and the result is 1. We are asked for the possible values of the input A B C amongst the given options.

To solve, let’s go through the options one after the other.

For option A, we have \[A = 1\], \[B = 0\], \[C = 1\]

Investigating this, A and B are connected to an OR gate. the output of the OR gate is 1 if at least one of the inputs is 1. Hence, the output at the OR gate is 1. This means that the input at one of the AND gates is 1.

Now, the input C is also equal to 1. This means that the two inputs of the AND gate are both equal to 1.

For the output of an AND gate to be equal to 1, the two input must be equal to one. Hence, the output of the AND gate is indeed equal to one, which is Y

**Hence, option A is correct.**

**Note:**Alternatively, without having to investigate one after the other or go through lengthy procedure, we can observe that the value of C in all other options is 0. Since, the AND gate cannot be 1 if at least one input is 0, then these options must be wrong, and option A must be correct.

Recently Updated Pages

If a wire of resistance R is stretched to double of class 12 physics JEE_Main

Let f be a twice differentiable such that fleft x rightfleft class 11 maths JEE_Main

Find the points of intersection of the tangents at class 11 maths JEE_Main

For the two circles x2+y216 and x2+y22y0 there isare class 11 maths JEE_Main

The path difference between two waves for constructive class 11 physics JEE_MAIN

What is the difference between solvation and hydra class 11 chemistry JEE_Main

Other Pages

Electric field due to uniformly charged sphere class 12 physics JEE_Main

Formula for number of images formed by two plane mirrors class 12 physics JEE_Main

Derive an expression for maximum speed of a car on class 11 physics JEE_Main

Why does capacitor block DC and allow AC class 12 physics JEE_Main