Final answer:
The University of California at Berkeley protested for the right to conduct sit-ins on campus for eight weeks during the Berkeley's Free Speech Movement in 1964.
Step-by-step explanation:
The University of California at Berkeley protested for the right to conduct sit-ins on campus for eight weeks. The protests were part of the Berkeley's Free Speech Movement in 1964, which aimed to challenge university rules that restricted advocacy of political causes on campus. The movement inspired student activism in universities throughout the country.