Tuesday, October 16, 2012

Implementasi Boolean

Implementasi eksperi boolean ke dalam gerbang logika :
  • mengconvert dari pers. boolean ke rangkaian gerbang logika
  • conver dari pers. Y ke rangkaian gerbang (klo mw gampang dimulai dri output sampai ke input)
    ex -> Y = AC + BC' + A'BC
  • gambar rangkaian dari sisi output.....
Theorema boolean
  1. x * 0 = 0
  2. x * 1 = 1
  3. x * x = x
  4. x * x' = 0
  5. x + 0 = x
  6. x + 1 = 1
  7. x + x = x
  8. x + x' = 1
  9. x + y = y + x (commulative law)
  10. x * y = y * x (commulative law)
  11. x + ( y + z ) = ( x + y ) + z = x + y + z 
  12. x ( yz) = (xy) z = x.y.z
  13. x ( y + z ) = xy + xz
  14. ( w + x ) ( y + z ) = wy + wz + xy + xz
  15. x + xy = x
  16. x + x'y = x + y
  17. ( x + y )' = x' * y'
  18. ( x * y )' = x' + y'
  19. ( x + y + z )' = x' * y' * z'
  20. (x.y.z)' = x' + y' + z'

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