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Boolean Logic and Simplification

Boolean identities and rules

  • 3 things to know
  • Component 1

Overview

Idempotent laws, complement laws and double negation law.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

State the identity law for OR with 0.

Key term

State the identity law for AND with 1.

Key term

State the null law for AND with 0.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the identity law for OR with 0.

    Model answer

    A OR 0 equals A. The value of the variable is unchanged by an OR with 0.

  2. 2

    State the identity law for AND with 1.

    Model answer

    A AND 1 equals A. An AND with 1 leaves the variable exactly as it was.

  3. 3

    State the null law for AND with 0.

    Model answer

    A AND 0 equals 0. The output is forced to 0 whatever the variable holds.

  4. 4

    State the null law for OR with 1.

    Model answer

    A OR 1 equals 1. The output is forced to 1 whatever the variable holds.

  5. 5

    State the idempotent laws.

    Model answer

    A AND A equals A, and A OR A equals A. A variable combined with itself simply gives that variable.

  6. 6

    State the complement laws.

    Model answer

    A AND NOT A equals 0, and A OR NOT A equals 1. A variable and its inverse between them cover every possibility.

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KDW to HAT.
decryptsencryptscompresses

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AThe two are not the same.
BOpen source refers to the availability of the code.
CMuch open source software is free of charge.

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Backup means the copy of the data.
TrueFalse

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