Question

The output from a NAND gate having inputs A and B given below will be.

• A.
• B.
• C.
• D.

Answer 1

The Correct Option is B

A NAND gate produces an output that is the negation of the AND gate output. The output (\( Y \)) is given by: \[ Y = \overline{A \cdot B}, \] where \( A \) and \( B \) are the inputs to the NAND gate. The truth table for a NAND gate is as follows: 

 

Step-by-Step Analysis of the Inputs and Outputs: - When both \( A = 0 \) and \( B = 0 \), the output \( Y = 1 \). 
- When \( A = 0 \) and \( B = 1 \), the output \( Y = 1 \). - When \( A = 1 \) and \( B = 0 \), the output \( Y = 1 \). 
- When both \( A = 1 \) and \( B = 1 \), the output \( Y = 0 \). 
Now analyze the given input waveforms for \( A \) and \( B \): 
1. For each interval where \( A \) and \( B \) are given, calculate \( A \cdot B \). 
2. Take the negation (\( \overline{A \cdot B} \)) to find the output \( Y \). 
From the given inputs and truth table, the output waveform matches Option (2).