Locate the nails that secure the wood floor in the desired area for the vent. The nailheads will inform you where the floor joists are located so that you can make the vent hole between them.
Place the vent you are installing in a position between two floor joists. Ensure that the vent is straight. Trace the perimeter of the vent with a pencil.
Install a one-inch wood drill bit into the chuck at the end of an electric drill. Drill a hole in each corner of the vent outline you drew on the floor. Hold the drill with both hands and drill the holes at a 90-degree angle to the floor's surface.
Insert the blade of a reciprocating saw into a hole in one of the corners. Ensure that the saw has a blade installed that is designed for cutting wood. Cut along the pencil line until the entire outline of the vent hole is removed.