You are considering purchasing a robot to you with household chores such as vacuuming. while you are researching options, you learn more about numeration and other bases. many electronics are programmed in base two. computers don't use ten digits but instead code things as 0 and 1. there are millions of little switches that are either on or off. the robot is programmed in binary numbers, or base two. the place values in a base two system are 1, 2, 4, 8, 16, etc. (powers of 2) instead of the base ten system place values of 1, 10, 100, 1000, etc. (powers of 10). how would the robot think of the number 31 in base two?