A0 Coordinate System

The A0 Coordinate System is a System for defining the location of a point in 2D, 3D, or 4D space.
The System assumes a basal starting location of (0,0,0,0).
Points are defined by a series of Directions, #,N,S,E,W,U,D,I,O
A coefficient (#), the cardinal directions (NSEW), up and down (UD), in and out (IO). The dimension of the coordinate is determined by the use of some vs other Directions.
A point is built of directions; the fist direction moves away from (0,0,0,0) by # units. The second by #/2, the third by #/4, etc.
A series of repeated directions is denoted by a line over the letter(s) that are repeated (1SĒ approaches (-1 , 1)).
An A0 coordinate is read left to right, which is crucial since reversing the order does not maintain the same coordinate location.
Examples:
1N -> (0,1)
1E -> (1,0)
1S -> (0,-1)
1W -> (-1,0)
1U -> (0,0,1)
1D -> (0,0,-1)
1I -> (0,0,0,1)
1O -> (0,0,0,-1)

1NESW -> (0.375, 0.75)
1WSEN -> (-0.75, -0.375)
100NESW -> (375, 750)
100WSEN -> (-750, -375)