Earlier quoted context omitted.
Isn't the AND operation often represented using multiplication notation (dot or star) because it is basically a boolean multiplication?
It's not so much that it is "boolean multiplication" (because how do you define that, also because digital representation of booleans implies that integer multiplication still applies) so much as AND follows similar Laws as multiplication, in particular AND is distributive across OR in a similar way multiplication is distributive over addition. [Example: a * (b + c) a * b + a * c] Because it follows similar rules, it…
boolean multiplication is well-defined: it is multiplication mod 2, which is exactly the AND operator.