Berhane, aged 33, died on September 29, three days after being found seriously injured on Lower Tower Street.
On Tuesday (May 5) Simon Gebrengus, aged 44 of Anderson Road, was jailed for six years having pleaded guilty to manslaughter.
A second man, Bibi Gilzgi, from Birmingham, also admitted manslaughter but denies murder and is due to go on trial early next year.
Police were initially called by ambulance service colleagues to a nightclub on Lower Tower Street, where they had found Berhane with serious head injuries.
The Major Crime Unit began immediate enquiries and found that he had been in a disagreement which resulted in him being assaulted, pushed down a flight of stairs, and hitting his head.
CCTV showed that it was Gebrengus who had pushed him, and the 44-year-old was arrested a short time later before being charged.
Berhane’s injuries proved to be unsurvivable.
Det Sgt Robert Moir, who led the investigation, said: “Gebrengus’s initial account of what happened was inconsistent with what our enquiries found.
“It became clear that he was involved in Berhane’s death, and our team of officers worked hard to bring him to justice for that.
“Throughout our investigation, our thoughts have remained with Berhane’s family, who should be praised for their strength in dealing with this process.”
The family said in a tribute: “We wish to express the profound and devastating impact his death has had on us and our wider community.
“Words cannot fully describe the depth of our loss and the pain we continue to endure.
“Berhane was a kind, loving, gentle, and humble man.
“He was a person of strong integrity, always honest, respectful, and true to his values.
“He worked hard and was determined to build a stable future for himself and to support his family.
“The impact of his death on our family is immeasurable, and the grief we carry will remain with us for the rest of our lives.”