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Logic Gates and Boolean Algebra

Logic gates and their truth tables

  • 3 things to know
  • AS Unit 1

Overview

Recall questions on when AND, OR, NOT and XOR each output 1, the four rows of each two-input truth table, the one case where OR and XOR disagree, everyday situations that behave like each gate, and why XOR is the natural way to compare two bit patterns.

What you need to know

Answer each one before you reveal it.

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Key term

State the four rows of the truth table for a two-input AND gate.

Key term

State the four rows of the truth table for a two-input OR gate.

Key term

State the four rows of the truth table for a two-input XOR gate.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Under what condition does an AND gate output 1?

    Model answer

    It outputs 1 only when every one of its inputs is 1, and 0 in all other cases.

  2. 2

    Under what condition does an OR gate output 1?

    Model answer

    It outputs 1 when at least one of its inputs is 1, and gives 0 only when all of them are 0.

  3. 3

    What does a NOT gate do?

    Model answer

    It takes a single input and outputs the opposite value, turning a 0 into a 1 and a 1 into a 0.

  4. 4

    Under what condition does an XOR gate output 1?

    Model answer

    It outputs 1 when its two inputs are different, and 0 when they are the same.

  5. 5

    State the four rows of the truth table for a two-input AND gate.

    Model answer

    Inputs 0 and 0 give 0, inputs 0 and 1 give 0, inputs 1 and 0 give 0, and inputs 1 and 1 give 1.

  6. 6

    State the four rows of the truth table for a two-input OR gate.

    Model answer

    Inputs 0 and 0 give 0, inputs 0 and 1 give 1, inputs 1 and 0 give 1, and inputs 1 and 1 give 1.

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