Question

To obtain the given truth table, the following logic gate should be placed at G:

• A. AND Gate
• B. OR Gate
• C. NOR Gate
• D. NAND Gate

Hint:

For analyzing logic circuits: - Start by identifying the effect of NOT, AND, and OR gates on the inputs. - Derive the Boolean expression for the final output. - Compare the derived expression with standard logic gate outputs to determine the correct gate.

Answer 1

The Correct Option is C

Step 1: Analyze circuit configuration. - The circuit comprises two NOT gates applied to inputs \( A \) and \( B \), with their outputs subsequently fed into two AND gates, which then supply input to gate \( G \). - The resultant truth table shows \( Y \) is true for input pairs \( (A, B) = (0,0) \) and \( (1,1) \), and false otherwise. Step 2: Determine the logical expression. - The observed output behavior aligns with the NOR logical operation: \[Y = \overline{A + B}.\] Step 3: Select the correct gate. - The NOR gate is the sole logic gate capable of implementing the \( Y = \overline{A + B} \) function. - Therefore, gate \( G \) must be a NOR gate. The identified solution is \( \boxed{\text{NOR Gate}} \).