Sounds like you have come up with something great - I once came up with a way using venn diagrams.

I found my math professor at university very excited and went through it with him.

After that he said that it was great that I had discovered that, but that was actually where boolean algebra was developed from!

I'll show you how I did it later, but I'd love to hear how you did yours

I studied Venn diagrams many years ago when i was studying boolean logic. I had a great book on that but seem to have lost it over the years. I went on to study automated reasoning and found that incredibly interesting. That introduced concepts of logic and reason that could not be found in boolean logic.
But the boolean logic study for me was so long ago i dont remember how to use Venn diagrams i'd have to look that up now. I'll check out your recent diagrams.

 

Mathematicians us Venn diagrams; Engineers use Karnaugh maps.

https://www.allaboutcircuits.com/textbook/digital/chpt-8/venn-diagrams-and-sets/

"Mathematicians use Venn diagrams to show the logical relationships of sets (collections of objects) to one another. Perhaps you have already seen Venn diagrams in your algebra or other mathematics studies. If you have, you may remember overlapping circles and the union and intersection of sets. ... The Venn diagram bridges the Boolean algebra from a previous chapter to the Karnaugh Map. We will relate what you already know about Boolean algebra to Venn diagrams, then transition to Karnaugh maps."

https://www.allaboutcircuits.com/textbook/digital/chpt-8/venn-diagram-karnaugh-map/

"Making a Venn Diagram Look Like a Karnaugh Map Chapter 8 - Karnaugh Mapping"

 

A´BC´ + A´D + BC´D´

Could anyone point me in the right direction in simplifying this expression. I've been trying to solve it for awhile but I'm stuck.

Cheers!

Read this-

https://www.electronics-tutorials.ws/boolean/bool_6.html