In the Boston Museum of Fine Arts is a display of carefully made stone cubes found in the ruins of Mohenjo-Daro of the Indus. The stones are a set of weights that exhibit the binary pattern, \(1,2,4,8,16, \cdots\). The fundamental unit displayed is just a bit lighter than the ounce in the U.S. measurement system. The old European standard of \(16 \mathrm{oz}\) for 1 pound may be a relic of the same idea. Write a paper showing how a set of such stones can successfully be used to measure any reasonable given weight of more than one unit.