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Boolean Logic and Simplification

XOR, NAND and NOR truth tables

  • 3 things to know
  • Component 1

Overview

Output of an XOR operation, output of a NAND operation and output of a NOR operation.

What you need to know

Answer each one before you reveal it.

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Key term

Describe the output of an XOR operation.

Key term

Describe the output of a NAND operation.

Key term

Describe the output of a NOR operation.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Describe the output of an XOR operation.

    Model answer

    An XOR operation gives 1 when the two inputs are different. Two equal inputs give an output of 0.

  2. 2

    Describe the output of a NAND operation.

    Model answer

    A NAND operation produces the inverse of AND. The output is 0 only when both inputs are 1.

  3. 3

    Describe the output of a NOR operation.

    Model answer

    A NOR operation produces the inverse of OR. The output is 1 only when both inputs are 0.

  4. 4

    Give the XOR truth table in words.

    Model answer

    The XOR outputs are 0, 1, 1 and 0 for the input pairs 00, 01, 10 and 11. Equal inputs give 0 and different inputs give 1.

  5. 5

    Give the NAND truth table in words.

    Model answer

    The NAND outputs are 1, 1, 1 and 0 for the input pairs 00, 01, 10 and 11. Only two inputs of 1 give an output of 0.

  6. 6

    Give the NOR truth table in words.

    Model answer

    The NOR outputs are 1, 0, 0 and 0 for the input pairs 00, 01, 10 and 11. Only two inputs of 0 give an output of 1.

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