Cut both 2-by-12-inch boards to the inside length of the shed. These will be the floor girders. Place one girder against the inside of the poles at the desired floor level. Drill a hole through one end of the girder and into the pole. Insert a lag screw into the hole and tighten it with a wrench.
Lay the level on top of the girder. Adjust the unattached end of the girder to level it. Drill a hole in the unattached end of the girder and into the pole, and secure it with a lag screw. Add a second lag screw to each end of the girder, and add two lag screws at every pole that the girder intersects.
Cut a 2-by-8-inch board to the inside width of the shed. This will be a floor joist.
Place the second girder against the poles on the opposite side of the shed, facing the first girder. Lay a joist across the girders and put the level on the joist. Raise the end of the girder to level the joist, and drill the girder and install a lag screw. Lay the level on the second girder and raise the other end of the girder to level. Fasten the girder to the poles with the remaining lag screws.
Cut a floor joist for every 16 inches of interior length of the shed. Cut two, 14.5-inch sections of 2-by-8 lumber for each floor joist.
Set a joist upright across one end of the girders. Nail it to each girder. Set a 14.5-inch board section upright on and parallel to the girder and nail it to the joist. Repeat this with a second 14.5-inch board on the other girder.
Set another joist on top of the girders. Push it against the 14.5-inch boards and nail it in place. Continue in this fashion until you reach the opposite wall.
Lay the plywood across the joists and nail it to the joists.