Digital Logic Gates

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Digital Logic Gates

Published by: Dikshya

Published date: 09 Jul 2023

Digital Logic Gates

Logic Gates:

Digital logic gates are physical or electronic devices that implement Boolean functions. They perform logical operations on one or more binary inputs to produce a binary output based on predefined logical rules. The behavior of logic gates is defined by their truth tables, which specify the output values for all possible combinations of input values.

There are several types of logic gates, each with its own truth table:

  1. AND Gate:

    • Truth Table:

      A B Output
      0 0 0
      0 1 0
      1 0 0
      1 1 1

    The AND gate outputs 1 only when all of its input values are 1.

  2. OR Gate:

    • Truth Table:

      A B Output
      0 0 0
      0 1 1
      1 0 1
      1 1 1

    The OR gate outputs 1 when at least one of its input values is 1.

  3. NOT Gate (Inverter):

    • Truth Table:

      A Output
      0 1
      1 0

    The NOT gate (or inverter) outputs the logical complement of its input value.

  4. XOR Gate (Exclusive OR):

    • Truth Table:

      A B Output
      0 0 0
      0 1 1
      1 0 1
      1 1 0

    The XOR gate outputs 1 when the number of input values that are 1 is odd.

  5. NAND Gate (NOT AND):

    • Truth Table:

      A B Output
      0 0 1
      0 1 1
      1 0 1
      1 1 0

    The NAND gate is an AND gate followed by a NOT gate. It outputs 0 only when all of its input values are 1.

  6. NOR Gate (NOT OR):

    • Truth Table:

      A B Output
      0 0 1
      0 1 0
      1 0 0
      1 1 0

    The NOR gate is an OR gate followed by a NOT gate. It outputs 1 only when all of its input values are 0.

These are some of the commonly used logic gates, each with its own unique truth table defining its behavior. By combining these logic gates and connecting their inputs and outputs, complex digital circuits can be built to perform various logical operations and functions. The truth tables provide a clear representation of how the logic gates operate and how their outputs are determined based on input combinations.