If you have a sibling who shares the same father as you but has a different mother, he is considered a full sibling, halachicly, in all regards. (The same status as a sibling who is of both the same father and mother as you.) But if you share the same mother but have a different father, he is only considered a half-brother and has a different halachic status.
Can someone please explain the differences in status, halachicly?

