CONDITION 1: while ( !(choice == 'Q' || choice == 'q') )
CONDITION 2: while ( choice != 'Q' || choice != 'q' )
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CONDITION 1: while ( !(choice == 'Q' || choice == 'q') )
CONDITION 2: while ( choice != 'Q' || choice != 'q' )
Condition 2 is always true. Can you see why this is so? One way to figure this out is to use Venn diagrams.
It looks to me like despite looking a little different they get the same results. I just need some pseudocode of what this is
They are most definitely not the same. To make them the same, you'd need to swap either one of the || for &&.
So ( !(choice == 'Q' || choice == 'q') ) is the same as ( choice != 'Q' && choice != 'q' )
and ( !(choice == 'Q' && choice == 'q') ) is the same as ( choice != 'Q' || choice != 'q' )
Again, use Venn diagrams to see that this is so.
I'm a real novice. I really don't understand the venn diagram link you added.