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Mathematics

Discrete Mathematics

Truth Tables

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p OR q

| p | q | p OR q | | T | T | T | | T | F | T | | F | T | T | | F | F | F |

p AND q

| p | q | p AND q | | T | T | T | | T | F | F | | F | T | F | | F | F | F |

p AND (q OR r)

| p | q | r | p AND (q OR r) | | T | T | T | T | | T | T | F | T | | T | F | T | T | | T | F | F | F | | F | T | T | F | | F | T | F | F | | F | F | T | F | | F | F | F | F |

p IMPLIES q

| p | q | p -> q | | T | T | T | | T | F | F | | F | T | T | | F | F | T |

(p AND q) OR r

| p | q | r | (p AND q) OR r | | T | T | T | T | | T | T | F | T | | T | F | T | T | | T | F | F | F | | F | T | T | T | | F | T | F | F | | F | F | T | T | | F | F | F | F |

p XOR q

| p | q | p XOR q | | T | T | F | | T | F | T | | F | T | T | | F | F | F |

p XOR (NOT q)

| p | q | p XOR (NOT q) | | T | T | F | | T | F | T | | F | T | T | | F | F | F |

NOT p

| p | NOT p | | T | F | | F | T |

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