FIG. 1 is a reduced front perspective view of a detachable base assembly for dual oriented computer system unit or the like showing our new design;

FIG. 2 is a front elevational view thereof wherein a computer is shown in broken lines;

FIG. 3 is a back elevational view thereof;

FIG. 4 is a top plan view thereof;

FIG. 5 is a bottom plan view thereof;

FIG. 6 is a right side elevational view thereof;

FIG. 7 is a left side elevational view thereof;

FIG. 8 is a front perspective view thereof;

FIG. 9 is a front elevational view thereof;

FIG. 10 is a rear elevational view thereof;

FIG. 11 is a top plan view thereof;

FIG. 12 is a bottom plan view thereof;

FIG. 13 is a right side elevational view thereof; and,

FIG. 14 is a left side elevational view thereof.

The computer shown in broken lines is for illustrative purposes only and forms no part of the claimed design.