Boolean theory ! If you know this you can easily understand it !

Question

True means 1
False means 0

And condition:

0×0 = 0 (false condition× false condition = flase)
0×1 = 0 ( false × true = false )
1×1 = 1 (true × true = true)
1×0 = 0 (true × false = false)

And condition:

0+0=0 (false + false = false)
0+1=1 (false + true= true)
1+0=1 (true+ false= true)
1+1=1 ( true + true= true)

NOT condition:

1 = 0
0=1

Answer 1

I think you meant "OR" instead of the second "AND".

Answer 2

Yeah, that's Boolean Algebra and that's why it is not taught first, because it is an Algebra, so at a pretty high level of mathematics.

Teaching Algebra first is a bad idea.