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On the new computer, just download and install this software which includes latest drivers and software necessary for the printer to work --> http://support-sg.canon-asia.com/contents/SG/EN/0100356201.html
Make sure you install the downloaded file. After installing, press Windows and R keys. This will bring Run. Type control printers and press enter. From the resulting screen, click Add Printer and this will recognize your printer.
Please let me know if that didn't work, so we can continue troubleshooting