Integer Comparison

Forgive if this is a stupid question:
Lately I have been testing basic arithmetic and logical operations by implementing them using only bitwise operators to test efficiency. Many simple operations can be sped up greatly using this approach.
The question is: will comparison of integers using only bitwise operators (no < or > or <= or >=) create any improvement? I would test this myself but for the life of me have not figured out how to implement this.

Okay. Thanks, guys. I am going to try to hammer out an implementation anyway and see what I find. But I think the idea that it doesn't matter anymore is probably correct.

Thanks again.