# Symbolic Logic: Conditional Statements, Conjunction, Disjunction, Negation, True & False YouTube Lecture Handouts

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- Behind every digital circuit is a logic gate.
- Logic gate is the building block of each digital circuit
- 7 common logic gates – XNOR, NOR, NOT, AND, OR, NAND, XOR

Connectives | Symbolic Logic |

NOT | |

AND | |

OR | |

Implies|If-Then | |

If & Only If |

- You do not complete your homework.
- You must go to school and complete your assignments.
- Either you do your homework or you will get punishment.
- If then: If you pass the exam, then you will get the job. (If you pass then you will get the job; if not you may or may not get the job)
- statement “IF Mary is selected then Will is also selected” is the same as “Mary is selected ONLY IF Will is also selected” or “ONLY IF Will is select, is Mary selected”
- IFF or If and only if: I will watch the championship if and only if I get the Ticket
- “Suzie is selected IF, AND ONLY IF, Bob is selected” means that Suzie and Bob are either both selected or both not selected.

Input | Output |

p | p |

Input | Output | |

p | q | p q |

You must go to school and complete your assignments.

Input | Output | |

p | q | p q |

Either you do your homework or you will get punishment.

If p then q | Output | |

p | q |

If you pass the exam, then you will get the job. (If you pass then you will get the job; if not you may or may not get the job)

✍ Manishika