I've done this by using a column with an INTEGER data type.
I store a 0 for False and a 1 for True.
Then in my B4A code i do something like this:
B4X:
Dim IntegerToBoolean() As Boolean
IntegerToBoolean=Array As Boolean(False, True)
' to get a Boolean value from the query:
MyBoolean=IntegerToBoolean(Cursor1.GetInt("TheIntegerColumnName"))