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I am going through my Boolean Algebra book trying do some of the problems and I am looking for some help with regards to one wanting a function simplified using only DeMorgan's relationships and Involution.

f(A,B,C,D) = [A + (BCD)']*[(AD)' + B(C'+A)]

I attempted to reduce as follows:

[A + B' + C' + D'][A' + D' + (B(C' + A))'] <-- Attempting Involution
[A + B' + C' + D']
[A' + D' + B' + C'' * A']
[A + B' + C' + D'][A' + D' + B' + CA']
[A + B' + C' + D']
[A' + B' + D']

I am wondering if the steps I took are valid or am I a bit off base?

1 Answers1

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At the first step, you have an error

[(AD)' + B(C'+A)] = [A' + D' + B(C' + A)]

or

[(AD)' + B(C'+A)] = [A' + D' + (B(C' + A))'']
miltos
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