The HP Photosmart C4580 printer connects with a single computer using a USB cable, or with multiple computers on a wireless network. The C4580 comes with a built-in wireless networking card, meaning you will only need the name of your wireless network and security code to initially make a wireless connection with the printer. For both USB and wireless connections, you will need a USB cable, which you will remove at the end of a wireless installation.
Place the Photosmart C4580 next to the computer you wish to connect to, then turn on both devices. Extend the C4580's paper input tray and load several sheets of paper.
Insert the Photosmart C4580's installation disc in the computer's optical drive and wait for the installation software to automatically open. Click on either the USB or wireless installation icon to start the installation process.
Follow the instructions on the computer's screen to continue setting up the software. When prompted, choose a connection of either "Through the Network" for a wireless connection or "USB" for a USB connection.
Plug the USB cable into the Photosmart C4580 and the computer when prompted by the software, even if you are setting up a wireless connection. For wireless set-up, type in the network's name in the box labelled "SSID" and the network password in the "Passphrase" box.