Binary Number Scrabble The Game. Wow. This contribution to Instructables.com comes from one of the founders of the website. Players can download instructions from Instructables.com and make their own version of this tile-based game where the objective is to earn points by placing equivalent binary expressions. 
Binary Sudoku. It's Only Zeros and Ones. From Erasable Games, a machine-readable version of the classic game of sudoku. Replace the digits 0,1,2,3,4,5,6,7,8, and 9 with their binary equivalents (1, 10, 11, 100, 101, 110, 111, 1000, and 1001), and you've got a game that even a machine can understand. I just wish that the squares were bigger...
Binay Dominoes. Brilliant. Tiles that can always be played, as each tile has one of two choices: one dot or no dots. Hmmm. Are doubles hard to come by? If I were to design a game based upon powers of two, I would definitely consider dominoes. What an easy way to represent a one... one dot....
From Cisco, this interactive Flash game makes learning how to translate between binary and decimal fun. Rows of blocks continue to generate as you click each bit to turn it on or off. Designed to help students learn binary in preparation for work with IP addresses (the CCNA certification), this is a fantastic example of proprietary learning gone right.