Boolean Confusion

[RMWChaos]

My brain is fried from looking at way too much code lately. So help me understand, if you will, do these operators:

if (A && B || C)
 

mean, "If either A and B are true or if C is true"?

And then this operation:

if (A && B || A && C)
 

mean, " If either A and B is true or A and C is true"?

In other words, these two statements above are not the same, correct?

If the above is all correct, then is there a way with the second statement to not have to repeat A? Maybe it's like this:

if (A &| B || C)
 

No, that sounds more like, "If A is true, or A and B is true, or C is true." So maybe like this:

if (B &| A &| C)
 

No again. That means, "If B is true, or B and A is true, or A is true, or A and C is true, or C is true. Whew! Well that covers the gamut, so I know for the future. Oh wait, it didn't cover if B and C is true! =D

Alright, I give! So is there even a way to write "A&B or A&C" without have to write A twice? I guess at this point, after all this mess, it probably doesn't matter. Sigh.

Man, even asking questions about boolean operators is tough. No wonder I have so much trouble understanding them.

[RMWChaos]

Wait, I might have it here. Rather than what I wrote above, should I write it like this to avoid boolean confusion?

if ((A && B) || (A && C))
// "If A and B or if A and C".
 
if((A && B) || C)
// "If A and B or if C".
 
if (A && (B || C))
// AHA! "If A and either B or C"!
// Also can be written, "If A and B or if A and C".
// Ta-da! =D
 

I think I am getting the hang of this now. Someone just clue me in that I am on the right track.

Thanks for putting up with my ramblings...I'm a part-time writer; so "writing out loud" like this helps me work through problems. And just maybe it will help someone else too, I can always hope.

[gits]

hi ...

:) you got it ...