If Chinese characters are ever used like numbers like in English
Here are some common choices

Use Arabic numerals

This is the most common way nowadays.

1) 第一点
2) 第二点
3) ……


Use numbers in Chinese

It's OK but why not use Arabic numerals?

一）第一点
二）第二点
三）……


And their 大写数字 form

壹）第一点
贰）第二点
叁）……


Use 天干 and 地支

They are quite rarely used today. 


天干：甲(jiǎ)、乙(yǐ)、丙(bǐng)、丁(dīng)、戊(wù)、己(jǐ)、庚(gēng)、辛(xīn)、壬(rén)、癸(guǐ)
地支：子(zǐ)、丑(chǒu)、寅(yín)、卯(mǎo)、辰(chén)、巳(sì)、午(wǔ)、未(wèi)、申(shēn)、酉(yǒu)、戌(xū)、亥(hài)


Use them like this:

甲）第一点
乙）第二点
丙）……


and

子）第一点
丑）第二点
寅）第三点


Use Latin Letters

Use a ~ z would be acceptable some how. I would say they would appear more common than 天干/地支 system.



When try to write hex numbers, you should use 0-9A-F as they are in English. At least I don't know any other way to write it in Chinese.