Mini Logic Gate Truth Table Generator

Select a logic gate and input binary values to see the output:





Output: -

Understanding logic gates is crucial for anyone studying digital electronics or computer science. This page provides a comprehensive overview of logic gates and their corresponding truth tables along with examples.

Use our free, quick, and clear tools to explore truth tables, logic gates, and digital design online.

What are Logic Gates?

Logic gates are basic electronic components that perform logical operations on binary inputs (0s and 1s) to produce a single output. They are used in digital devices like computers and smartphones to process information. Each gate (like AND, OR, NOT, NAND, NOR, XOR, and XNOR) follows a specific rule defined by its truth table.

By combining multiple logic gates, complex digital circuits can be created to handle tasks like decision-making, calculations, and data processing. In short, logic gates are the foundation of all digital electronics.

Logic Gate Symbols and Operations

  • AND Gate (⋅): Outputs 1 only when both inputs are 1.
  • OR Gate (+): Outputs 1 when at least one input is 1.
  • NOT Gate (¬ or ‘): Inverts the input (1 becomes 0, and 0 becomes 1).
  • NAND Gate: NOT of AND gate output.
  • NOR Gate: NOT of OR gate output.
  • XOR Gate (⊕): Outputs 1 when inputs are different.
  • XNOR Gate: Outputs 1 when inputs are the same.

Truth Tables for Basic Logic Gates

  • A B AND OR XOR NAND NOR XNOR
    0 0 0 0 0 1 1 1
    0 1 0 1 1 1 0 0
    1 0 0 1 1 1 0 0
    1 1 1 1 0 0 0 1

Visual Symbols of Logic Gates

      • AND Gate: & or *
      • OR Gate: +
      • NOT Gate: ¬ or '
      • XOR Gate: ⊕

Advanced Logic Gate Truth Tables

Advanced logic gate truth tables are used to analyze complex digital circuits involving multiple logic gates and input variables. Unlike basic tables that show a single gate’s output, these tables break down compound Boolean expressions into intermediate steps, showing the output at each stage. This makes it easier to understand how different parts of the logic contribute to the final result.

They are essential for designing, testing, and verifying digital systems in electronics and computing. Engineers, students, and programmers use them to ensure circuits function correctly and to simplify expressions using tools like Boolean algebra or Karnaugh maps.

FAQs

What is a truth table in logic gates?

A truth table shows all possible input combinations to a logic gate and the resulting output. It helps understand how logic circuits behave.

Which gate gives output 1 when both inputs are 0?

The NOR gate produces 1 only when all inputs are 0.

Can I use truth tables for more than two inputs?

Yes! Our Truth Table Generator supports multiple inputs up to 4 or more variables.

What is the use of logic gates?

Logic gates are used in building electronic devices, computing systems, decision-making circuits, and digital systems such as calculators, microprocessors, and memory units.

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