I know that every absolutely continuous functions are of bounded(finite) variations but converse need not be true. and the cantor function is well-known example of function of bounded variation which is not absolutely continuous. I want to know some other examples. Please help me! Thanks in advance! 



Example of function of bounded variation but not absolutely continuous.
A real valued function $f:[a,b]\rightarrow \mathbb {R} $ is of bounded variation iff it is the difference of two bounded monotonically increasing functions. This gives you many -- in fact all real real valued -- examples. 


(See, eg., Rudins 'Real and Complex Analyis', Exercise 7.13) 


