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 boolean algebra Urgent -
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Posted on 10-16-09 7:51 AM     Reply [Subscribe]
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Posted on 10-16-09 10:47 AM     Reply [Subscribe]
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abc + aB + aBc
ac(b+B) + aB
ac x 0 + aB
aB

B = your Bold B

Not sure if this is correct.
Last edited: 16-Oct-09 10:49 AM

 
Posted on 10-16-09 11:12 AM     Reply [Subscribe]
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I have made little bit clear


The confusion here is, it seems it is giving to different answers


A.B.C +A.Bnot


Another is


A.C+A.Bnot


I am little bit confused here. Does it has two solution?


 


 
Posted on 10-16-09 11:15 AM     Reply [Subscribe]
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Strictly following the precedence i.e (. before +)
A.B.C  + A. B (not A . not C) (De morgans law)
A.B.C + A.B.notA.notC
A.B.C + (A.notA).B.notC

A and not A = False

ABC + False

so if any of the A or B or C is false the result is False and for the expression to be true they all have to be True

I am assuming that the bnot.(A+C) = b.not(A+C)

Please consult the solution below, the above is solved on wrong assumption :D


Last edited: 16-Oct-09 11:22 AM
Last edited: 16-Oct-09 11:40 AM

 
Posted on 10-16-09 11:31 AM     Reply [Subscribe]
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assuming bnot = not b

a.b.c + a.notb.a + a.notb.c (distributive)
 
a.b.c + a.notb + a.notbc ( a.a = a)

a.c.b   + a.c.notb  +a.notb (re-arranging)

ac(b+ notb) + a.notb ( distributive)

b+ notb = true

therefore ac + a.notb
Last edited: 16-Oct-09 11:36 AM

 


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