Here's the big three logic gates, that take as inputs a binary 0 or 1:
But what if those inputs were free to be any value across the range 0..1? For the sake of example let's say A=2/3 and B=1/4
I can surmise that NOT(A) = 1 - 2/3 = 1/3, and also that NOT(B) = 1 - 1/4 = 3/4
But what of AND and OR?