most words are actually compositions of several charactersFor that matter most characters are combinations of other ones. Briefly, there are 27 different stroke shapes and 214 different 'radicals' in kanji that are recombined in various ways to form new characters. Japanese kanji overlap heavily with Chinese Kangxi, but they're gone in somewhat different directions over the last few centuries. (I'm interested in both languages but less familiar with Chinese than Japanese because I can't speak the former at all.)
https://en.wikipedia.org/wiki/List_of_kanji_radicals_by_stro...
I'm not a linguist, but I don't think you can understand languages that use Chinese characters if you're not willing to look at the components those characters are built out of. I mean, you could just learn them by sight and remember the ~2000 most common ones, but that seems like both a more shallow and difficult approach.
Anyway, a lot of the more obscure characters are not displayed properly on most web pages like the Wikipedia example above because they're in one of the CJK extension tables, and this seems like a problem, because few people are going to want to dig through the unicode charts to find them. This isn't a problem with unicode as such, but with the way browsers and operating systems implement it.
https://unicode.org/charts/