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Tugas MTK Diskrit Ekuivalent

Tugas Matematika Diskrit

  1. ~(p v q ) v (~p Λ ~q) dengan ~p)
  2. ~(p Λ q ) → ( ~p v (~p v q)) dengan ~p v q

Jawaban :

  1. ~(p v q ) v (~p Λ ~q) dengan ~p)

p

q

~ q

P v ~q

~(p v ~q)

~p

(~p Λ ~q

~(p v ~q) v (~p Λ ~q)

T

T

F

T

F

F

F

F

T

F

T

T

F

F

F

F

F

T

F

F

T

T

F

T

F

F

T

T

F

T

T

T

Kesimpulan : ~( p v ~q) v (~p Λ ~q) ≡ ~p

  1. ~(p Λ q ) → ( ~p v (~p v q)) dengan ~p v q

p

q

p Λ q

~(p Λ q)

~p

(~p v q)

~p v (~p v q)

~(p Λ q ) → ( ~p v (~p v q)

T

T

T

F

F

T

T

T

T

F

F

T

F

F

F

T

F

T

F

T

T

T

T

T

F

F

F

T

T

T

T

T

Kesimpulan : ~ (p Λ q) → (~p v (~p v q) ≡ ~p v q


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The Big DayMaret 5th, 2012
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