Question

For the given logic gate circuit, which of the following is the correct truth table ?

• A.
• B.
• C.
• D.

Hint:

XOR gate output is 1 only when inputs are different.

Answer 1

The Correct Option is B

To solve this problem, we need to examine the given logic gate circuit and determine its truth table. The circuit consists of an OR gate followed by a NOT gate (inverter). 

Identify the Gates: The circuit has two inputs, m and n. These inputs go into an OR gate.

The output of the OR gate will be: \(O = m + n\) where \(+\) represents the OR operation.

Apply NOT Gate: The output O from the OR gate goes through a NOT gate.

The final output z is given by the NOT of O: \(z = \overline{O} = \overline{m+n}\)

Construct the Truth Table: Let's construct the truth table based on the outputs calculated:

m	n	O = m + n	z = \overline{m+n}
0	0	0	1
0	1	1	0
1	0	1	0
1	1	1	0

Verify the Correct Answer: Compare this truth table with the given options. The correct truth table matches the second option image:

This shows that the correct answer is indeed the provided option.