Several games, such as the “Window Reader”, “Nim”, and “Bachet’s weights problem”, have a theory dependent on the scale of 2. (See, for example, Rouse Ball, Mathematical Recreations and Essays.) Here we give a discussion and some generalisations of two such games, the “Tower of Hanoi” (Rouse Ball, 11th ed., p. 303) and the “Chinese Rings” (Rouse Ball, p. 305).