Then it would also be down all the time.
It is only for heads of state.
http://www.ushistory.org/betsy/flagcode.htm
Section 7, m
The flag, when flown at half-staff, should be first hoisted to the peak for an instant and then lowered to the half-staff position. The flag should be again raised to the peak before it is lowered for the day. On Memorial Day the flag should be displayed at half-staff until noon only, then raised to the top of the staff. By order of the President, the flag shall be flown at half-staff upon the death of principal figures of the United States Government and the Governor of a State, territory, or possession, as a mark of respect to their memory. In the event of the death of other officials or foreign dignitaries, the flag is to be displayed at half-staff according to Presidential instructions or orders, or in accordance with recognized customs or practices not inconsistent with law. In the event of the death of a present or former official of the government of any State, territory, or possession of the United States, or the death of a member of the Armed Forces from any State, territory, or possession who dies while serving on active duty, the Governor of that State, territory, or possession may proclaim that the National flag shall be flown at half-staff, and the same authority is provided to the Mayor of the District of Columbia with respect to present or former officials of the District of Columbia and members of the Armed Forces from the District of Columbia. The flag shall be flown at half-staff 30 days from the death of the President or a former President; 10 days from the day of death of the Vice President, the Chief Justice or a retired Chief Justice of the United States, or the Speaker of the House of Representatives; from the day of death until interment of an Associate Justice of the Supreme Court, a Secretary of an executive or military department, a former Vice President, or the Governor of a State, territory, or possession; and on the day of death and the following day for a Member of Congress. The flag shall be flown at half-staff on Peace Officers Memorial Day, unless that day is also Armed Forces Day. As used in this subsection —
the term “half-staff” means the position of the flag when it is one-half the distance between the top and bottom of the staff;
the term “executive or military department” means any agency listed under sections 101 and 102 of title 5, United States Code; and
the term “Member of Congress” means a Senator, a Representative, a Delegate, or the Resident Commissioner from Puerto Rico.