Update on the 4bit ripple comparator

After looking at more info on the comparator I decided to create a 1bit comparator in Logisim. (http://ozark.hendrix.edu/~burch/logisim/)
It came out great because then I found the equation for the comparator and used it to make the 1bit into a 4bit ripple comparator. Here is how it is.

The inputs are always true or on tell it is attached to another one. I am not 100% that this is the best way to do it. Let me know if there is a batter way