Were Avicenna and William the Conqueror alive at the same time?
Yes. Avicenna and William the Conqueror were alive at the same time, from 1027–1028 to 1037.
William the Conqueror
King of England from 1066 to 1087, Duke of Normandy from 1035 to 1087
Born 1027–1028 · died 9 September 1087