He had an elder brother, John. His father's civil service commission was still active, and during Turing's childhood years his parents travelled between Hastings in England and India, leaving their two sons to stay with a retired Army couple. Very early in life, Turing showed signs of the genius he was later to display prominently.
After Sherborne, Turing studied as an undergraduate from 1931 to 1934 at King's College, Cambridge, from where he gained first-class honours in mathematics. From September 1936 to July 1938, he spent most of his time studying under Church at Princeton University. In addition to his purely mathematical work, he studied cryptology and also built three of four stages of an electro-mechanical binary multiplier.
During World War II, Turing worked for the Government Code and Cypher School (GC&CS)at Bletchley Park, Britain's code breaking centre. For a time he was head of Hut 8, the section responsible for German naval cryptanalysis. He devised a number of techniques for breaking German ciphers, including the method of the bombe, an electromechanical machine that could find settings for the Enigma machine.
After the war, he worked at the National Physical Laboratory, where he designed the ACE, one of the first designs for a stored-program computer. In 1948 Turing joined Max Newman's Computing Laboratory at Manchester