### An exploration in number systems

For most people, the denary system of numbers is perfectly natural. So much so that people don’t even give other options a second thought. The alternatives are not just hypothetical but are in their own way ingrained in our culture. What is the denary system of numbers? Denary from the Latin decem for ten, is a system of numbers where we have 10 symbols 0 to 9. For this, we use a positional number system based on powers of 10. Each column to the left has a value 10 times that to the right. The number 1000 is: Thousands Hundreds Tens units 1 0 0 0 This isn’t the only system that could be used and in fact, 10 is special only in the sense that we have 10 fingers. If the number of fingers isn’t taken into account then base 12 would make arithmetic a lot simpler. Instead of a 10s column you have a dozens, instead of 100s you have 144s. For this you ofcourse need more symbols. 10 is represented with the symbol A and 11 is represented with the symbol B. 12 is re