functions - How to Handle Infinity in calculations?

In my numerical calculations I have a list of Eigenvalues with some of them equal to zero. So, when I calculate the log to the base 2 I get infinity those eigenvalues due to Log[2,0] output.

Question: How can I avoid Log[2,0] in my lengthy code, i.e. to get 0 instead of -Infinity?

Thanks and regards