Final answer:
William the Conqueror, also known as William of Normandy, ordered the compilation of the Domesday Book.
Step-by-step explanation:
The ruler who ordered the compilation of the Domesday Book was William the Conqueror, also known as William of Normandy. He was the Duke of Normandy and became the King of England after winning the Battle of Hastings in 1066. The Domesday Book was a comprehensive survey of land ownership and resources in England.