Boolean Algebra Question (Digital Logic Circuits)

[theBEAST]

Homework Statement

The Attempt at a Solution

Is my solution correct or can I simplify it even further?

 

[NascentOxygen]

Is your final gate OR or NOR?

 

[theBEAST]

Is your final gate OR or NOR?

Oh, that should be a NOR. Other than that mistake is all my work correct?

 

[FOIWATER]

I see you applied de morgan's theorem to the AB term in the beginning, why did you not opt to apply it on the NOR function?

 

[theBEAST]

I see you applied de morgan's theorem to the AB term in the beginning, why did you not opt to apply it on the NOR function?

Oh right, when I did this I didn't know you could use DeMorgan's on three terms, I just found this out today. I will simplify it further now with this new knowledge.

 

[FOIWATER]

That should eliminate the need for so many calculations, although it is important to learn them as well.

I am not certain but I think applying de morgan's theorem to the NOR function might get you to a final solution in three steps