Introduction to DLD

NOR Gate Truth Table for 2, 3, 4, 5 Inputs

A NOR gate is a digital logic gate that provides the output HIGH (1) only when all inputs are LOW (0). The output will be LOW (0) when at least one input is HIGH (1).

Truth Tables of NOR Gate for Various Inputs

The following table shows the number of input combinations and the output behavior of NOR gates with different numbers of inputs:

NOR Gate Number of Inputs Possible Combinations
2-Input NOR 2 4
3-Input NOR 3 8
4-Input NOR 4 16
5-Input NOR 5 32

Let’s explain the truth tables of NOR gates with different numbers of inputs.

NOR Gate Truth Table for 2 Inputs

The following diagram shows the NOR Gate Truth Table for 2 Inputs.

NOR Gate Truth Table for 2 Inputs

Let’s explain the truth table of a 2-input NOR logic gate.

  • A = 0, B = 0: Both inputs are LOW, so the output is 1 (HIGH).
  • A = 0, B = 1: Input B is HIGH, so the output becomes 0 (LOW).
  • A = 1, B = 0: Input A is HIGH, so the output becomes 0 (LOW).
  • A = 1, B = 1: Both inputs are HIGH, so the output is 0 (LOW).

NOR Gate Truth Table for 3 Inputs

The following diagram shows the NOR Gate Truth Table for 3 Inputs.

NOR Gate Truth Table for 3 Inputs

Let’s explain the truth table of a 3-input NOR logic gate.

  • A = 0, B = 0, C = 0: All three inputs are LOW, so the output is 1 (HIGH).
  • A = 0, B = 0, C = 1: Input C is HIGH, so the output is 0 (LOW).
  • A = 0, B = 1, C = 0: Input B is HIGH, so the output is 0 (LOW).
  • A = 0, B = 1, C = 1: Inputs B and C are HIGH, so the output is 0 (LOW).
  • A = 1, B = 0, C = 0: Input A is HIGH, so the output is 0 (LOW).
  • A = 1, B = 0, C = 1: Inputs A and C are HIGH, so the output is 0 (LOW).
  • A = 1, B = 1, C = 0: Inputs A and B are HIGH, so the output is 0 (LOW).
  • A = 1, B = 1, C = 1: All three inputs are HIGH, so the output is 0 (LOW).

NOR Gate Truth Table for 4 Inputs

The following diagram shows the NOR Gate Truth Table for 4 Inputs.

NOR Gate Truth Table for 4 Inputs

Let’s explain the truth table of a 4-input NOR logic gate.

  • A = 0, B = 0, C = 0, D = 0: All inputs are LOW, so the output is 1 (HIGH).
  • A = 0, B = 0, C = 0, D = 1: Input D is HIGH, so the output is 0 (LOW).
  • A = 0, B = 0, C = 1, D = 0: Input C is HIGH, so the output is 0 (LOW).
  • A = 0, B = 0, C = 1, D = 1: Inputs C and D are HIGH, so the output is 0 (LOW).
  • A = 0, B = 1, C = 0, D = 0: Input B is HIGH, so the output is 0 (LOW).
  • A = 0, B = 1, C = 0, D = 1: Inputs B and D are HIGH, so the output is 0 (LOW).
  • A = 0, B = 1, C = 1, D = 0: Inputs B and C are HIGH, so the output is 0 (LOW).
  • A = 0, B = 1, C = 1, D = 1: Inputs B, C, and D are HIGH, so the output is 0 (LOW).
  • A = 1, B = 0, C = 0, D = 0: Input A is HIGH, so the output is 0 (LOW).
  • A = 1, B = 0, C = 0, D = 1: Inputs A and D are HIGH, so the output is 0 (LOW).
  • A = 1, B = 0, C = 1, D = 0: Inputs A and C are HIGH, so the output is 0 (LOW).
  • A = 1, B = 0, C = 1, D = 1: Inputs A, C, and D are HIGH, so the output is 0 (LOW).
  • A = 1, B = 1, C = 0, D = 0: Inputs A and B are HIGH, so the output is 0 (LOW).
  • A = 1, B = 1, C = 0, D = 1: Inputs A, B, and D are HIGH, so the output is 0 (LOW).
  • A = 1, B = 1, C = 1, D = 0: Inputs A, B, and C are HIGH, so the output is 0 (LOW).
  • A = 1, B = 1, C = 1, D = 1: All inputs are HIGH, so the output is 0 (LOW).

NOR Gate Truth Table for 5 Inputs

The following diagram shows the NOR Gate Truth Table for 5 Inputs.

NOR Gate Truth Table for 5 Inputs

Let’s explain the truth table of a 5-input NOR logic gate.

  • A = 0, B = 0, C = 0, D = 0, E = 0: All inputs are LOW, so the output is 1 (HIGH).
  • A = 0, B = 0, C = 0, D = 0, E = 1: Input E is HIGH, so the output is 0 (LOW).
  • A = 0, B = 0, C = 0, D = 1, E = 0: Input D is HIGH, so the output is 0 (LOW).
  • A = 0, B = 0, C = 0, D = 1, E = 1: Inputs D and E are HIGH, so the output is 0 (LOW).
  • A = 0, B = 0, C = 1, D = 0, E = 0: Input C is HIGH, so the output is 0 (LOW).
  • A = 0, B = 0, C = 1, D = 0, E = 1: Inputs C and E are HIGH, so the output is 0 (LOW).
  • A = 0, B = 0, C = 1, D = 1, E = 0: Inputs C and D are HIGH, so the output is 0 (LOW).
  • A = 0, B = 0, C = 1, D = 1, E = 1: Inputs C, D, and E are HIGH, so the output is 0 (LOW).
  • A = 0, B = 1, C = 0, D = 0, E = 0: Input B is HIGH, so the output is 0 (LOW).
  • A = 0, B = 1, C = 0, D = 0, E = 1: Inputs B and E are HIGH, so the output is 0 (LOW).
  • A = 0, B = 1, C = 0, D = 1, E = 0: Inputs B and D are HIGH, so the output is 0 (LOW).
  • A = 0, B = 1, C = 0, D = 1, E = 1: Inputs B, D, and E are HIGH, so the output is 0 (LOW).
  • A = 0, B = 1, C = 1, D = 0, E = 0: Inputs B and C are HIGH, so the output is 0 (LOW).
  • A = 0, B = 1, C = 1, D = 0, E = 1: Inputs B, C, and E are HIGH, so the output is 0 (LOW).
  • A = 0, B = 1, C = 1, D = 1, E = 0: Inputs B, C, and D are HIGH, so the output is 0 (LOW).
  • A = 0, B = 1, C = 1, D = 1, E = 1: Inputs B, C, D, and E are HIGH, so the output is 0 (LOW).
  • A = 1, B = 0, C = 0, D = 0, E = 0: Input A is HIGH, so the output is 0 (LOW).
  • A = 1, B = 0, C = 0, D = 0, E = 1: Inputs A and E are HIGH, so the output is 0 (LOW).
  • A = 1, B = 0, C = 0, D = 1, E = 0: Inputs A and D are HIGH, so the output is 0 (LOW).
  • A = 1, B = 0, C = 0, D = 1, E = 1: Inputs A, D, and E are HIGH, so the output is 0 (LOW).
  • A = 1, B = 0, C = 1, D = 0, E = 0: Inputs A and C are HIGH, so the output is 0 (LOW).
  • A = 1, B = 0, C = 1, D = 0, E = 1: Inputs A, C, and E are HIGH, so the output is 0 (LOW).
  • A = 1, B = 0, C = 1, D = 1, E = 0: Inputs A, C, and D are HIGH, so the output is 0 (LOW).
  • A = 1, B = 0, C = 1, D = 1, E = 1: Inputs A, C, D, and E are HIGH, so the output is 0 (LOW).
  • A = 1, B = 1, C = 0, D = 0, E = 0: Inputs A and B are HIGH, so the output is 0 (LOW).
  • A = 1, B = 1, C = 0, D = 0, E = 1: Inputs A, B, and E are HIGH, so the output is 0 (LOW).
  • A = 1, B = 1, C = 0, D = 1, E = 0: Inputs A, B, and D are HIGH, so the output is 0 (LOW).
  • A = 1, B = 1, C = 0, D = 1, E = 1: Inputs A, B, D, and E are HIGH, so the output is 0 (LOW).
  • A = 1, B = 1, C = 1, D = 0, E = 0: Inputs A, B, and C are HIGH, so the output is 0 (LOW).
  • A = 1, B = 1, C = 1, D = 0, E = 1: Inputs A, B, C, and E are HIGH, so the output is 0 (LOW).
  • A = 1, B = 1, C = 1, D = 1, E = 0: Inputs A, B, C, and D are HIGH, so the output is 0 (LOW).
  • A = 1, B = 1, C = 1, D = 1, E = 1: All inputs are HIGH, so the output is 0 (LOW).