Posted by: dynamite October 16, 2009
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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
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