Boolean logic deMorgans theorem

[fran1942]

Hello, I am trying to prove that the following two expressions are the inverse of each other by using deMorgan's theorem.

i) X = A(B+C)
ii) X = A' + B'C'

I am having trouble doing this. Can this actually be achieved with these two expressions ?

Thank you for any help.

 

[NascentOxygen]

Hello, I am trying to prove that the following two expressions are the inverse of each other by using deMorgan's theorem.

i) X = A(B+C)
ii) X = A' + B'C'

I am having trouble doing this.

It is confusing the way you have written this, fran1942.

I think you'll find the question should be something like:

If X = A(B+C), apply de Morgans's theorem to show that X' = A' + B'C'[/color]