MySQL: Update a full table, inserting a MD5 hash, for each row a specific one

I added a column to an existing table. Now I need to update the tablecontent by adding a MD5 hash to that new column, based on the content of an existing column.

To be more precise:

id | name | date-of-birth | hash
1  | test | 12.12.12      | NULL

There are more than 1 million rows, where hash = NULL. Now I need to update hash with a MD5 string, that is bases on a corresponding column e.g. name: hash = MD5(test)

I know how to do it for a single row. But how to do that for all rows in a single SQL Statement?