I have this question :
Unfortunately, my book didn't provide definition and how to draw/read a logic venn diagram, i have to look at the internet but couldn't find any understandable explanation
From what i understand, the logics for the three diagrams are :
- X AND NOT (Y OR Z)
- NOT X AND (Y OR Z)
- Y AND NOT (X OR Z)
Am i right ? Please correct me if i'm wrong
By the ways, does the question mean to combine all three diagrams with OR operation, like :
1 OR 2 OR 3
Any help is greatly appreciated !
I could not understand the question correctly. Here's the logic for the three Venn Diagrams:
1. Your logic for the first Venn Diagram is correct: X AND NOT (Y OR Z)
2. Your logic for the second Venn Diagram is slightly incorrect, if you look at the Venn Diagram: It is simply NOT (X) (Everything except X).
3. In this case as well, the logic is simply Y.
Now if we perform OR operation on these three:
(X AND NOT (Y OR Z)) + NOT(X) + Y
= X AND NOT(Y) AND NOT(Z) OR NOT(X) OR Y [By de Morgan's law]
which matches option c.
NOTE: Your second and third logics would have been correct if X, Y and Z were the only three regions in the diagram. However there is also a region outside all of them - bounded by the box. You might want to look up on the internet about basics of Venn Diagram, it's one of the easiest things to learn IMO!