Unicode is a standard that enumerates characters, and gives them unique numeric IDs (called "code points"). It includes a very large, and growing, set of characters for most modern written languages, and also a lot of exotic things like ancient Greek musical notation.
Unlike other character encoding schemes (like ASCII or the ISO-8859 standards), Unicode does not say anything about representing these characters in bytes; it just gives a universal set of IDs to characters. So it is wrong to say that Unicode is "a 16-bit replacement for ASCII".
There are various encoding schemes that can representing arbitrary Unicode characters in bytes, including UTF-8, UTF-16, and others.
