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Computer Science

Digital Systems

Basic Logic Gates

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NAND Gate

Function: Output is false if both inputs are true; otherwise, the output is true. Truth Table: | A | B | Out | | 0 | 0 | 1 | | 0 | 1 | 1 | | 1 | 0 | 1 | | 1 | 1 | 0 |

XOR Gate

Function: Output is true if the inputs are different. Truth Table: | A | B | Out | | 0 | 0 | 0 | | 0 | 1 | 1 | | 1 | 0 | 1 | | 1 | 1 | 0 |

OR Gate

Function: Output is true if at least one input is true. Truth Table: | A | B | Out | | 0 | 0 | 0 | | 0 | 1 | 1 | | 1 | 0 | 1 | | 1 | 1 | 1 |

NOR Gate

Function: Output is true if both inputs are false; otherwise, the output is false. Truth Table: | A | B | Out | | 0 | 0 | 1 | | 0 | 1 | 0 | | 1 | 0 | 0 | | 1 | 1 | 0 |

AND Gate

Function: Output is true if both inputs are true. Truth Table: | A | B | Out | | 0 | 0 | 0 | | 0 | 1 | 0 | | 1 | 0 | 0 | | 1 | 1 | 1 |

NOT Gate

Function: Outputs the inverse of the input value. Truth Table: | A | Out | | 0 | 1 | | 1 | 0 |

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