The Big Red (6-8) never trailed and led by as many as 17 points in the first half and 22 in the second.
The Bearcats (2-11), who lost their seventh in a row, still trailed 76-65 with 4:54 remaining. They cut the deficit to 76-72 with 1:25 left, but Chemerinski's offensive rebound and layup made it 78-72 at the 0:55 mark.
Reed quickly answered with a 3-pointer to make it 78-75, but Galal Cancer made 1 of 2 free throws with 8 seconds left for Cornell.
Reed finished with 23 points and 14 rebounds for Binghamton, which shot 69.6 percent (16 of 23) in the second half. Rayner Moquete added 19 points.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.
Guard Naz Mitrou-Long, whose 2015-16 season ended in December due to hip problems, has been granted a hardship waiver for the coming season, Iowa State said.
As the Sooners look to life without superstar Buddy Hield and his sidekicks, it's clear their unseasoned players will need to grow up fast.