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omni

Sat Feb 05, 2005 12:37 pm


Boolean Algebra

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I'm having some troubles understanding boolean algebra. 
Simplify:

y = ((A*B)*C) + (A*C)
y = ((A*B) + A) * C 

is this fully simplified, or is it even right?


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Andy

Sat Feb 05, 2005 3:56 pm



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errr no...
y = ((A*B)*C) + (A*C) 
well you know * is communitive so you can rewrite it as
y = ((A*C)*B) + (A*C) 
then you can factor out an (A*C) leavin u with
y = (A*C)*(B+1) 
and since B+1 is always 1, you have
y = (A*C)*1
leaving you with simply
y = A*C


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wtd

Wed Feb 09, 2005 3:40 am



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I must be fuzzy on math after years away from the classroom.

Where do you get that B + 1 is always 1?


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Martin

Wed Feb 09, 2005 7:54 am



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Boolean Algebra.

+ is essentially OR.

Anything or TRUE is always TRUE.


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wtd

Wed Feb 09, 2005 3:43 pm



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Ah yes.