In this article, novel methods for binary multiplication, squares, and cubes are presented. These methods are completely different from others in that they reduce the problem into a mechanical process of determining centers and counting points. Numerous examples are provided to show the fast and easy operations of the methods. The validity of these methods is shown by rigorous theoretical analysis.
['Bangqi Liu', 'Dechang Chen', 'Chengjie Xiong', 'Kai Xing']
New methods for binary multiplication