What are some examples of ex cathedra statements made by the Pope?

Ex cathedra statements are rare declarations made by the Pope on matters of faith and morals that are considered infallible. One famous example is the doctrine of the Immaculate Conception, declared by Pope Pius IX in 1854. Another example is the doctrine of the Assumption of Mary, declared by Pope Pius XII in 1950. These statements are considered binding for all Catholics.