Just to expand a bit on the previous posts:
AI = Analog Input = Physical property or quantity that does not have a discrete value or state, e.g temperature and pressure. Devices such as thermistor temperature sensors and duct static pressure sensors are connected to analog inputs. Typically one must specify a scale range to convert the raw electrical signal of the sensor, to engineering units.
BI or DI = Binary or Digital Input = A physical event or status occupying one of two discrete states, usually expressed as On/Off, True/False, 1/0. A differential pressure switch, air flow switch, or thermostat is connected to a digital input.
AO = Analog Output = Continuously varying signal used to modulate the action of a final control element such as a proportional control valve or variable speed drive. Usually limited to a range of 0 to 5 or 10 VDC, or 4 to 20 mA.
BO or DO = Binary or Digital Output = Signal occupying one of two discrete states (voltages), typically used to start and stop pumps and fans, and open or close 2-position valves. Often an interposing or control relay is used to switch the device, as typical DDC controller outputs have limited current or power dissipation capacity.
When designing a control schematic, I think it's good to start with a "flow diagram" depicting HVAC equipment for a given application. A sequence of operations is one of the key documents you need to refer to when figuring out what equipment is required and the control actions that are to be performed. In my company we typically start with major units, such as air handlers, and use the sequence of operations to determine the control devices necessary. A sequence might say "Modulate outside air damper". This tells you that you need a modulating or proportional damper motor (sized appropriately for the damper) and at least an AO to drive the damper. The schematic needs to show which output on the controller, # of conductors and size, and connection details so an installer can make the necessary connections.
This is an extremely brief outline (really the tip of the iceberg). I think the link provided by atlas06 above, is a good sarting point.
Good Luck,
Greg Hansen