Logic Gates: AND Gate Basics
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Questions and Answers

What is the logical operation of an OR gate?

  • Produces HIGH output only when any of the inputs are HIGH (correct)
  • Produces LOW output only when all inputs are LOW
  • Produces LOW output only when any of the inputs are LOW
  • Produces HIGH output only when all inputs are HIGH

    • Which Boolean expression represents a two-input OR gate?

  • Y = A - B
  • Y = A * B
  • Y = A / B
  • Y = A + B (correct)

    • What is the main function of a NOT gate?

  • Performs logical OR operation
  • Performs logical AND operation
  • Acts as a universal gate
  • Inverts the input logic level (correct)

    • Which gate is equivalent to an OR gate followed by an inverter?

    <p>NOR gate</p> Signup and view all the answers

    What does a NAND gate output when any of the inputs, A or B, are LOW?

    <p>HIGH (1)</p> Signup and view all the answers

    How many different combinations of inputs would a truth table for an eight-input AND gate have?

    <p>256</p> Signup and view all the answers

    What is the Boolean expression for a two-input AND gate?

    <p>Y = A B</p> Signup and view all the answers

    What is the output of an AND gate when all of its inputs are HIGH (1)?

    <p>HIGH (1)</p> Signup and view all the answers

    Which of the following is NOT a basic logic gate?

    <p>XOR gate</p> Signup and view all the answers

    What is the logical operation performed by an OR gate?

    <p>The output is HIGH (1) if any input is HIGH (1)</p> Signup and view all the answers

    Study Notes

    Logic Gates

    • A logic gate is a digital circuit that makes a decision based on one or more inputs.
    • There are five types of logic gates: AND, OR, NOT, NAND, and NOR.

    AND Gate

    • The AND gate has 2 or more inputs and a single output.
    • The output is HIGH (1) only when all inputs are HIGH (1).
    • The Boolean expression for a 2-input AND gate is Y = A.B or Y = AB.
    • The Boolean algebra for a 2-input AND gate is:
      • 0.0 = 0
      • 1.0 = 0
      • 0.1 = 0
      • 1.1 = 1
    • The AND gate output is equal to the product of the logic inputs.

    OR Gate

    • The OR gate has 2 or more inputs and a single output.
    • The output is HIGH (1) when any of the inputs are HIGH (1).
    • The Boolean expression for a 2-input OR gate is Y = A + B.
    • The Boolean algebra for a 2-input OR gate is:
      • 0+0 = 0
      • 1+0 = 1
      • 0+1 = 1
      • 1+1 = 1

    NOT Gate

    • The NOT gate is also known as an inverter.
    • It has only one input and one output.
    • The NOT gate inverts the input logic level.
    • The Boolean expression for the NOT gate is Ā (read as A bar).
    • Even number of NOT gates connected together, the output is equal to the input.
    • Odd number of NOT gates connected together, the output is equal to the complement of the input.

    NAND Gate

    • The NAND gate is equivalent to an AND gate followed by an inverter.
    • The NAND gate output is HIGH (1) when any of the inputs are LOW (0).
    • The Boolean expression for the NAND gate is Y = Ā.B̄.

    NOR Gate

    • The NOR gate is equivalent to an OR gate followed by an inverter.
    • The NOR gate output is HIGH (1) when both inputs are LOW (0).
    • The Boolean expression for the NOR gate is Y = Ā + B̄.

    Logic Circuit Output

    • Once we have the Boolean expression for a circuit, we can determine the output logic level for any set of input levels.
    • We can implement a logic circuit from a Boolean expression.

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    Description

    Learn the fundamentals of AND gates including logical operations, output characteristics, and circuit implementation from Boolean expressions. Understand how AND gates produce a HIGH output only when all inputs are HIGH.

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