In order to do this you will have to attach the drain to the s trap below your sink where it falls into the floor including applying putty and putting drains into the base of the sink adding the tailpiece and then fitting the t.
Sink drain through floor.
If joists are 16 inches on center and pipes run across them at a right angle holes should differ in height by about 3 8 inch.
If you don t have a vent on your sink drain you can use one of these air admittance in line vents from oatey here.
Sink drains that exit through the wall behind the sink require a p trap and sink drains that exit through the floor beneath the sink require an s trap.
The holes must follow a straight line across the floor and must ascend or descend so the pipe will be sloped 1 4 inch per foot.
The sink s drainpipe runs downward to connect in the floor to the main drainpipe which originates with the commode.
The commode drainpipe is the largest in diameter either 3 or 4 inches and.
That drain tailpiece runs from the sink to the drain.
If the potential sink location is on a 2nd floor i can t imgine not having to bust into the ceiling under it too even to run the drain straight down.
Distance right to left from each water supply pipe to the drain.
If your sink drain is located in the floor all that you need to do is reposition the p trap slightly.
Your p trap the u or j shaped pipe is connected to the drain tailpiece.
Rough in sink drain through floor.
Running drainpipe through joists calls for meticulous work.
I just went through the same exercise myself including the installation of a pedestal sink.
Http amzn to 2uuxg5o quick video explain.
Without a route to the main sewer system or septic field wastewater may have nowhere to go but to back up into your fixtures or up through floor drains.
Distance from the floor or wall to where the drain enters the wall or floor distance between the floor and the water supply pipes.
Sit on the floor with the sketch in hand and visualize how the back of the pedestal sink will match up with the supply lines.