Manually converting unicode codepoints into UTF-8 and UTF-16?

Wow. On the one hand I'm thrilled to know that university courses are teaching to the reality that character encodings are hard work, but actually knowing the UTF-8 encoding rules sounds like expecting a lot. (Will it help students pass the Turkey test?).

The following program will do the necessary work. It may not be "manual" enough for your purposes, but at a minimum you can check your work.

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