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Boolean Logic and Simplification

AND, OR and NOT truth tables

  • 3 things to know
  • Component 1

Overview

Truth table, output of an AND operation and output of an OR operation.

What you need to know

Answer each one before you reveal it.

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Key term

How does the number of rows in a truth table follow from the number of inputs, and what does AND output?

Key term

How are OR and NOT written in Boolean algebra?

Key term

What is a truth table?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is a truth table?

    Model answer

    A truth table lists every possible combination of input values together with the resulting output. The table defines a logical operation completely.

  2. 2

    How many rows does a truth table with three inputs need?

    Model answer

    A truth table with three inputs needs 8 rows. The number of rows is 2ⁿ for n inputs.

  3. 3

    Describe the output of an AND operation.

    Model answer

    An AND operation gives 1 only when both inputs are 1. Every other combination of inputs gives 0.

  4. 4

    Describe the output of an OR operation.

    Model answer

    An OR operation gives 1 when at least one input is 1. Only two zero inputs give an output of 0.

  5. 5

    Describe the output of a NOT operation.

    Model answer

    A NOT operation inverts its single input. An input of 1 gives 0 and an input of 0 gives 1.

  6. 6

    Give the AND truth table in words.

    Model answer

    The AND outputs are 0, 0, 0 and 1 for the input pairs 00, 01, 10 and 11. Only the last row gives an output of 1.

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