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 (D)</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) (C)</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 (D)</p> Signup and view all the answers

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

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

Which of the following is NOT a basic logic gate?

<p>XOR gate (C)</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) (A)</p> Signup and view all the answers

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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 AÌ„ (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 = AÌ„.BÌ„.

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 = AÌ„ + BÌ„.

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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