Question:

A NOR gate has two input I1 and l2,and one output terminal Y. Which of the following configuration (truth table) is INCORRECT for the NOR gate?

Updated On: Apr 7, 2025
  •  I1=0,I2=0,Y=1

  •  I1=0,I2=0,Y=0

  •  I1=1,I2=1,Y=0

  •  I1=1,I2=0,Y=0

  •  I1=0,I2=1,Y=0

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The Correct Option is B

Approach Solution - 1

Given:

  • NOR gate truth table options (A-E).

Step 1: Recall NOR Gate Logic

A NOR gate outputs 1 only when both inputs are 0. For all other input combinations, the output is 0.

Step 2: Evaluate Each Option

(A) \( I_1 = 0, I_2 = 0, Y = 1 \) → Correct (NOR output for 0,0).

(B) \( I_1 = 0, I_2 = 0, Y = 0 \) → Incorrect (should be 1).

(C) \( I_1 = 1, I_2 = 1, Y = 0 \) → Correct (NOR output for 1,1).

(D) \( I_1 = 1, I_2 = 0, Y = 0 \) → Correct (NOR output for 1,0).

(E) \( I_1 = 0, I_2 = 1, Y = 0 \) → Correct (NOR output for 0,1).

Conclusion:

The incorrect configuration is (B).

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Approach Solution -2

1. Understand the NOR gate:

A NOR gate gives an output of 1 (HIGH) only when both inputs are 0 (LOW). Otherwise, the output is 0 (LOW).

2. Analyze the truth table configurations:

  • (A) I1 = 0, I2 = 0, Y = 1: Both inputs are LOW, so the output should be HIGH. This is CORRECT.
  • (B) I1 = 0, I2 = 0, Y = 0: Both inputs are LOW, so the output should be HIGH. This is INCORRECT.
  • (C) I1 = 1, I2 = 1, Y = 0: At least one input is HIGH, so the output should be LOW. This is CORRECT.
  • (D) I1 = 1, I2 = 0, Y = 0: At least one input is HIGH, so the output should be LOW. This is CORRECT.
  • (E) I1 = 0, I2 = 1, Y = 0: At least one input is HIGH, so the output should be LOW. This is CORRECT.

Final Answer: The incorrect configuration is \(\boxed{B}\)

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Concepts Used:

Logic Gates

AND Gate

It is the gate, where a circuit performs an AND operation. It has n number of input where (n >= 2) and one output.

OR Gate

It is the gate, where a circuit performs an OR operation. It has n number of input where (n >= 2) and one output.

NOT Gate

An inverter is also called NOT Gate. It has one input and one output where the input is A and the output is Y.

NAND Gate

A NAND operation is also called a NOT-AND operation. It has n number of input where (n >= 2) and one output.

NOR Gate

A NOR operation is also called a NOT-OR operation. It has n number of input where (n >= 2) and one output.

XOR Gate

XOR or Ex-OR gate is a specific type of gate that can be used in the half adder, full adder, and subtractor. 

XNOR Gate

XNOR gate is a specific type of gate, which can be used in the half adder, full adder, and subtractor. The exclusive-NOR gate is flattened as an EX-NOR gate or sometimes as an X-NOR gate. It has n number of input (n >= 2) and one output.