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Math teaser


TheGeek

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If anybody can figure out this I'll be amazed.

 

Using De Morgan's theorem simplify this Boolean Algebraic equation.

 

______

_____

____

___

__

_

ABCDEF

 

 

De Morgan's theorem =

__ _ _

AB=A+B

 

Which translates into

______

ABCDEF

_____

ABCDEF

____

ABCDEF

___

ABCDEF

__

ABCDEF

_

ABCDEF

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¬(¬(¬(¬(¬(¬AB)C)D)E)F)

 

¬(¬(¬(¬((A+¬B)C)D)E)F)

¬(¬(¬((¬(A+¬B)+¬C)D)E)F)

¬(¬(¬(((¬AB)+¬C)D)E)F)

¬(¬((¬((¬AB)+¬C)+¬D)E)F)

¬(¬(((¬(¬AB)C)+¬D)E)F)

¬(¬((((A+¬B)C)+¬D)E)F)

¬((¬(((A+¬B)C)+¬D)+¬E)F)

¬(((¬((A+¬B)C)D)+¬E)F)

¬((((¬(A+¬B)+¬C)D)+¬E)F)

¬(((((¬AB)+¬C)D)+¬E)F)

(¬((((¬AB)+¬C)D)+¬E)+¬F)

((¬(((¬AB)+¬C)D)E)+¬F)

(((¬((¬AB)+¬C)+¬D)E)+¬F)

((((¬(¬AB)C)+¬D)E)+¬F)

(((((A+¬B)C)+¬D)E)+¬F)

((((AC+¬BC)+¬D)E)+¬F)

(((AC+¬BC+¬D)E)+¬F)

((ACE+¬BCE+¬DE)+¬F)

(ACE+¬BCE+¬DE+¬F)

 

ACE + ¬BCE + ¬DE + ¬F

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