No it does not
plus is an addition operative
AND is a Boolean operative. I demonstrated above.
John, "and" is a very versatile word. In common conversation, besides its obvious use as a conjuntion, it does, indeed, get used as "plus," such as, "two and two equals four, four and four equals eight..." In computerese, it does indeed get used, along with "or" and "not" for specific boolean operations. In fact, in computerese there are many, many words that are stolen from ordinary usage, such as "child," " parent," "halt," "run," among others, and many math terms are used also (recursive, et al).
For mathematicians, who speak a language that I don't, there are all kinds of conventions that us commoners rarely come across.
Most of us here are commoners...