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The geomantic figures (https://en.wikipedia.org/wiki/Geomantic_figures) can also represent 4 bit values. Unfortunately they aren't in unicode either. The Ba gua (https://en.wikipedia.org/wiki/Bagua) are, but can only represent 3 bits per symbol.

The Tài Xuán Jīng symbols are, however. A subset can be used like:

𝌆𝌇𝌉𝌊𝌏𝌐𝌒𝌓𝌡𝌢𝌤𝌥𝌪𝌫𝌭𝌮

So Unicode has Bagua (3 bits), Tài Xuán Jīng (4 trits), and I Ching (6 bits, but incomplete).