You can update your Wii using the built in update function of the console.
This is the safest and easiest way of doing it.
It is possible to update the system manually with an application such as DOP-Mii.
You can also download the required WAD files (use NUS Downloader to simulate a Wii System Update) and install them with a WAD manager.
We don't recommend using either of these methods.
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