alt Hacker NewsModulo arithmetic is taught to American students as clock arithmetic in elementary school as well. Signed integers are better described as truncated 2-adics, which are definitely an advanced topic. It's basically a Greenland/Iceland situation. The complicated, difficult one is given a friendly name to trap naive programmers.
Signed ints are no more and no less truncated 2-adics than unsigned ints. Signed ints and unsigned ints are isomorphic as rings; they are both the ring of integers modulo some 2^n. It is only on other operations (ordering comparisons, or the / and % of C) where they differ, and in neither case do these operations have anything to do with 2-adics.