Pre-heat your oven to 370℉/180℃. Line an 8" Square Pan with greaseproof paper.
In a small bowl, break up the dark chocolate and melt in the microwave in 20 second intervals, stirring in between to make sure it doesn't burn. Alternatively, set up a double boiler. Do this by placing a heatproof bowl over a small pot of simmering water. Add the chocolate to the heatproof bowl and stir until melted.
In a large mixing bowl, whisk together melted butter and both sugars until fully combined (3-5 minutes). Add in the eggs and whisk again. Finally, add the melted chocolate and whisk to combine.
Fold in the flour and cocoa powder. Finally, add the chopped white chocolate (or chocolate chips) and fold together.
Pour into the lined tin and bake 30 minutes. Remove and let cool before frosting.