[2] Joining the Royal Navy in 1928,[2] in 1930 he volunteered to become a member of the British Arctic Air Route Expedition (BAARE) led by Gino Watkins, exploring the east coast and interior of Greenland.

With surveyor Alfred Stephenson and geologist Lawrence Wager he took part in a three-month journey to map the ice cap border of the Schweizerland mountains and to attempt the ascent of Mont Forel, the highest point of the range.

[2] Bingham went to Antarctica with the 1934-1937 British Graham Land Expedition, led by his former BAARE teammate John Rymill, as medical officer and in charge of the dog sled teams.

He then served on HMS Duke of York, as Principal Medical Officer,[2] contributing with his Arctic and Antarctic knowledge to the manufacture of improved protective cold-weather clothing for Royal Navy ship watchkeepers and lookouts.

[1] Following various shore appointments, in 1945 Bingham was seconded to the Colonial Office to lead the newly formed Falkland Islands Dependencies Survey (FIDS).