Why "analog" doesn't mean a dial and "binary" doesn't mean a switch — the real distinction is how many possible values the point can report, and what a controller can do with the number it gets back.
Every point in a building automation system database is one of four kinds: analog input (AI), analog output (AO), binary input (BI), or binary output (BO). New BAS technicians often sort these by what the device physically looks like — a sensor feels "analog," a relay feels "binary" — but the actual test has nothing to do with the hardware's appearance. It's about the range of the signal the point carries. An analog point represents a continuously variable quantity across a range; a binary point represents one of exactly two discrete states. Confuse the two in a points list, a controller program, or a graphic, and you get a supply-air-temperature reading that can only ever say "hot" or "cold," or a damper command that tries to sit at 47% open on an output that physically can only be full-open or full-closed.