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Logic Gates and Boolean Algebra

Boolean identities and rules

  • 3 things to know
  • AS Unit 1

Overview

Two identity laws, two annulment laws and two idempotent laws.

What you need to know

Answer each one before you reveal it.

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Key term

State the two identity laws.

Key term

State the two annulment laws.

Key term

State the two idempotent laws.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the two identity laws.

    Model answer

    A + 0 = A and A·1 = A.

  2. 2

    State the two annulment laws.

    Model answer

    A + 1 = 1 and A·0 = 0.

  3. 3

    State the two idempotent laws.

    Model answer

    A + A = A and A·A = A.

  4. 4

    State the two complement laws.

    Model answer

    A + ¬A = 1 and A·¬A = 0.

  5. 5

    State the law of double negation.

    Model answer

    The complement of the complement of a variable is the variable itself, so ¬(¬A) = A.

  6. 6

    State the commutative laws.

    Model answer

    A + B = B + A and A·B = B·A.

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