Is any Android mobile / handset / tablet able to scan both 1D and 2D barcode?
The android platform does not natively support scanning barcodes of any type.
Third parties have made applications that are capable of scanning all types of codes.
Check out this page: http://code.google.com/p/zxing/ for one of the most popular scanning apps. Which also allows other developers to tie into their scanner in their own applications.