to give out; allocate: [~ + object]They assigned rooms at the hotel.[~ + object + object]They assigned us a room.[~ + object + to + object]They assigned a room to us.
to give out or announce as a task: [~ + object]assigned his best man to the job.[~ + object (+ to + object)]The teacher assigned a lot of homework (to the class).[~ + object + object]The teacher assigned them a lot of homework.[~ + object + to + verb]They assigned a guard to watch.
to appoint to a post or duty:[~ + object + to]They assigned her to the day shift.
to designate; name; specify:[~ + object]Let's assign a day for a meeting.
to give as a reason:[~ + object]to assign a cause to certain unexplained events.
1.See corresponding entry in UnabridgedAssign,allocate,allot mean to apportion or measure out. To assign is to distribute available things, designating them to be given to or reserved for specific persons or purposes:to assign duties.To allocate is to earmark or set aside parts of things available or expected in the future, each for a specific purpose:to allocate income to various types of expenses.To allot implies making restrictions as to amount, size, purpose, etc., and then apportioning or assigning:to allot spaces for parking.
4.See corresponding entry in Unabridged fix, determine.
5.See corresponding entry in Unabridged adduce, allege, advance, show, offer.