To connect HP DeskJet 3512 to Wi-Fi, follow the steps given here. First, power ON the HP Deskjet 3512 and ascertain your computer and the printer are connected to the same wireless network. Next, download the HP DeskJet 3512 driver for your printer from HP Customer Support by entering your printer name and model number. HP Easy Start screen will be displayed, followed by a software download screen. Now, you need to start the download by selecting the terms and conditions checkbox. If you can't see your printer on the next screen, click the "My printer is not shown" button and complete the Wireless setup. If you encounter any issues when following the steps mentioned above, you can refer to the HP DeskJet 3512 Printer Manual.