A boolean expression (help)

[JC-Retro]

I've been looking at this for ages and I think I'm just second guessing myself too much so to put me out of my misery can I (out of sheer kindness ) see some answers to the following question?:

(p AND (q AND NOT(r AND p))) OR NOT(p OR NOT(r))

Basically I have to produce a Venn Diagram, a truth table and find its disjunctive normal form. It looks easy to me but I keep second guessing the final answer for the DNF for whatever reason.

 

[JC-Retro]

I think that simplifies down to p OR q OR r, just from sketching my own Venn diagram.

Actually I think that's wrong. One minute...

I keep getting p AND q OR r.

 

[JC-Retro]

Here we go.

The answer

I actually had the answer written down too. Thanks, that's exactly what I was after, just a nod in the right direction