Teoremas da Álgebra de Boole

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TEOREMAS DA ÁLGEBRA DE BOOLE 
PROF. LÚCIO 
 
 
 
1. XY = YX 
2. X + Y = Y + X 
3. (X + Y) + Z = X + (Y + Z) = X + Y + Z 
4. (XY) Z = X (YZ) = XYZ 
5. X + 0 = X 
6. X + 1 = 1 
7. X . 0 = 0 
8. X . 1 = X 
9. X . X = X 
10. X + X = X 
11. X + X = 1 
12. X . X = 0 
13. X = X 
14. X + XY = X 
15. X ( X + Y ) = X 
16. X + X Y = X + Y 
17. XY + Y Z + XZ = XY + Y Z 
18. ( X + Y ) ( X + Y ) = X 
19. ( Y + Z ) ( Y + X ) = XY + Y Z 
20. X + YZ = ( X + Y) ( X + Z ) 
21. 
 
 
X ⋅Y ⋅ Z ⋅.......⋅ N = X + Y + Z + ......... + N 
22. 
 
 
X + Y + Z + ...... + N = X ⋅Y ⋅ Z ⋅.......⋅ N