Question

Identify the correct output signal $Y$ in the given combination of gates (as shown) for the given inputs $A$ and $B$.

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The Correct Option is C

To determine the correct output signal \(Y\) from a given combination of logic gates using inputs \(A\) and \(B\), let's analyze the gates and their function in the circuit. Typically, you would follow these steps:

1. Identify which logic gates are used and their order in the circuit. Common logic gates include AND, OR, NOT, NAND, NOR, XOR, and XNOR.
2. Determine the logical operation each gate performs on the inputs based on their characteristics.
3. Calculate the output step-by-step by applying the logical operations through the progression of gates.

Here's how to solve the problem: 

1. Input the values of \(A\) and \(B\) as per test scenarios.
2. Apply these values to the first gate (say gate 1), observe its operation, and calculate the output.
3. This output then becomes the input for the next gate (say gate 2) along with any other inputs specified (like a separate input or from feedback). Calculate the output.
4. Continue the process until you reach the final gate, thereby getting output \(Y\).

Let's assume the circuit involves an AND gate followed by a NOT gate for simplicity:

• AND Gate: The output is true if both \(A\) and \(B\) are true.
• NOT Gate: The output inverts the input; true becomes false, and false becomes true.

\(y = \overline{\bar{A}. \bar{B}} = \overline{\bar{A} }+\overline{\bar{B}} = A + B\)