Preheat oven to 350 degrees. In a 2-quart saucepan, combine unsweetened baking chocolate and butter. Melt over low heat until dissolved, stirring often. Remove from heat. Add sugar and mix with a spoon until combined. Add eggs one at a time, mixing well after each addition.
Combine salt, baking powder, flour and oats and add to the mixture. Stir in vanilla. Spread in a greased 9x9-inch baking pan and bake at 350 degrees for 35 minutes or until the center is almost done. Test with a toothpick in middle of pan. Remove when a few crumbs still stick to the toothpick.
Let cool slightly and cut into squares. These are fudgey brownies and set up when they cool.