boolean - 18-100 Boolean Algebra Following is a summary of...

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Unformatted text preview: 18-100 Boolean Algebra Following is a summary of some laws of Boolean Algebra: 0+ X = X 1+ X = 1 X+X =X X + X =1 0X = 0 1X = X XX = X XX = 0 9. X = X 10. X + Y = Y + X 11. XY = YX 12. X + (Y + Z ) = ( X + Y ) + Z 13. X (YZ ) = ( XY ) Z 14. X (Y + Z ) = XY + XZ 15. X + XZ = X 16. X ( X + Y ) = X 17. ( X + Y )( X + Z ) = X + YZ 18. X + XY = X + Y 19. XY + YZ + XZ = XY + XZ = XY + YZ = YZ + XZ = XYZ = X + Y + Z 1. 2. 3. 4. 5. 6. 7. 8. DeMorgan's Theorems X +Y = X Y XY = X + Y ...
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This note was uploaded on 12/13/2009 for the course ECE 18100 taught by Professor Williams during the Fall '07 term at Carnegie Mellon.

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