Could I make a column in a table only allows one 'true' value and all other rows should be 'false'

Question

In MySQL, Can I put a restriction like below at database level?

I need to make sure 1. a specific column can only take either \'true\' or \'false\' values. 2. and e

Answer 1

1. a specific column can only take either 'true' or 'false' values.

   Use Datatype for column either boolean or tiny-int

2 and exactly only one row should be having 'true' value?

you have to write a query which update all the row columns to false except one you set to true