Compatible enough that an adventure* written for either Basic or 1e can easily be run in the other system with next-to-no conversion required: they're almost completely interchangeable.
* - the only real exceptions I can think of are the M and I level adventures for BECMI, but they're bad enough in general anyway that if you're thinking of running one my advice would be don't.![]()
AD&D: where no matter how many times you read the rules you still might miss the part where helmets give you increased AC vs randomly determined head attacks, varying by intelligence of the attackers, but restricts vision to 60 degrees.
The helmet rules seem like a situational thing Gary came up with at some point to "realistically" simulate why helmets are important (and thus, for example, why removing your helmet to listen at a door is risky even without earseekers!), but probably didn't play with.
Rather like the weapon vs. AC charts, which he threw in initially as a way to appeal to more simulationist wargamers (the modifiers are basically a conversion of the charts from Chainmail) but later said he never used himself. Which makes sense; because they screwed up the math in them but those charts were never officially corrected as far as I can recall.
The helmet rules seem like a situational thing Gary came up with at some point to "realistically" simulate why helmets are important (and thus, for example, why removing your helmet to listen at a door is risky even without earseekers!), but probably didn't play with.
Rather like the weapon vs. AC charts, which he threw in initially as a way to appeal to more simulationist wargamers (the modifiers are basically a conversion of the charts from Chainmail) but later said he never used himself. Which makes sense; because they screwed up the math in them but those charts were never officially corrected as far as I can recall.
Your character would use a given table based on their race/class as appropriate & there were probably some differences but converting between or running something in the other was pretty much a triviality. There were some minor mechanical differences but they were not a big deal. 3.0 3.5 & PF were similar spreads as basic/ad&dHow compatible are we talking about here?

(Dungeons & Dragons)
Rulebook featuring "high magic" options, including a host of new spells.