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Jumat, 27 Juli 2012

Boolean

DALIL BOOLEAN :

1. X = 0 ATAU X = 1
2. 0 . 0 = 0
3. 1 + 1 = 1
4. 0 + 0 = 0
5. 1 . 1 = 1
6. 1 . 0 = 0 . 1 = 0
7. 1 + 0 = 0 + 1 = 0



TEOREMA BOOLEAN :

HK. KUMUTATIF
    A + B = B + A
    A . B = B . A

HK. ASSOSIATIF
    (A + B) + C = A + (B +C)
    (A . B) . C = A . (B . C)

HK. DISTRIBUTIF
    A . (B + C) = A . B + A . C
    A + (B . C) = (A + B) . (A + C)

HK. NEGASI
    ( Ā ) = Ā

HK. ABRSORPSI
    A + A . B = A
           A . ( A + B ) = A

HK. IDENTITAS
     A + A = A
     A . A = A

     0 + A = A ---------- 1 . A = A
     1 + A = 1  ---------- 0 . A = 0


      Ā + A = 1
      Ā . A = 0


        A +  Ā . B = A + B
        A . Ā  ( A + B ) = A . B

DE MORGANS
       ( A + B ) = Ā . B

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