You cannot use Microsoft's 360 adapter on your computer for the same reason that ordinary USB adapters don't work on the Xbox - the needed device driver support is lacking.
Ịnweghị ike iji ihe ntanetị 360 nke Microsoft na kọmputa gị maka otu ihe ahụ na ndị ntanetị USB anaghị arụ ọrụ na Xbox - enyemaka nke ọkwọ ụgbọala dị mkpa achọrọ.