What is the meaning of the word "assign"?

Definitions:

to attribute or give verb
- I assigned them their due.
to confer responsibility for a task, or for holding the duties of a post verb
- I was assigned to the class down the hall.
to decide as to where something belongs in a scheme verb
- The biologist assigned the mushroom to the proper class.
to give out verb
- We were assigned new uniforms.
to select something or someone for a specific purpose verb
- The teacher assigned one student to lead the class in the exercise.
to transfer one's right to verb
- I assigned everything to my heirs.