• In a medium saucepan, melt the butter and unsweetened chocolate over medium-low heat, stirring until smooth. Remove from the heat and set aside to cool slightly.
• Preheat the oven to 350°F. Grease an 8x8x2-inch baking pan. You can line the pan with foil and grease it for easier removal, but this step is optional.
• Stir the sugar into the cooled chocolate mixture. Add the eggs one at a time, mixing with a wooden spoon just until combined. Stir in the vanilla.
• In a small bowl, combine the flour and baking soda. Stir the flour mixture into the chocolate mixture just until combined. Spread the batter evenly in the pan.
• Bake for 30 minutes, then cool the brownies in the pan on a wire rack.

Frosting

• In a small saucepan, melt the chocolate chips over low heat, stirring until smooth. Remove from the heat and let cool.
• In a medium bowl, stir together the softened cream cheese and powdered sugar until smooth. Add the melted chocolate and stir with a wooden spoon until fully combined.
• Spread the frosting evenly over the cooled brownies.