## About Truth table

**The truth table**is an important part of the digital electronics discussion. We get different

**truth table**s from each type of logical gates.

Read about Adder.

In Boolean algebra logic circuits have multiple inputs and only a single output. Combining these inputs and outputs we can make a table for understanding the combinations between them. This table is called the

**truth table**.Let us have n variables. From these n variables, we have a 2ⁿ number of inputs.

Let us have two variables X and Y. From these two inputs, we have 2² = 4 inputs.

Number of Variables (n) | Number of Inputs(2ⁿ) |

2 | 2²=4 |

3 | 2³=8 |

Remember that value of the inputs either 0 or 1.

### Structure for two inputs

For 2 inputs the

**truth table**will be like thisInputs | Outputs | |

X | Y | R(Depends on logical gates) |

0 | 0 | |

0 | 1 | |

1 | 0 | |

1 | 1 |

### Structure for three inputs

For 3 inputs the

**truth table**will be like thisInputs | Outputs | ||

X | Y | Z | R(Depends on logical gates) |

0 | 0 | 0 | |

0 | 0 | 1 | |

0 | 1 | 0 | |

0 | 1 | 1 | |

1 | 0 | 0 | |

1 | 0 | 1 | |

1 | 1 | 0 | |

1 | 1 | 1 |

**Truth table**. After drawing a circuit with its logical expression we can write a

**truth table**for understanding the outcomes from the inputs.

**truth tables**in a lot of cases in digital electronics such as in showing Encoder, Decoder probable outputs showing.

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