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Antidecimalitarianism is the movement against the use of base ten, or any number that fits nicely with it. Followers of the movement are called Antidecimalitarians. Antidecimalitarians would rather use bases like base 12 and base 16, as these have far more mathematical value.
Antidecimalitarianism has been around since the fall of the Roman empire. It was commonly noted at the time that the Roman system (based around base 10) was inadequate, and mismanagement caused by it was the reason why the Barbarians could invade. The Barbarians were noted for their lack of use of base 10, and also their lack of use of numbers.
Most Vikings were also antidecimalitarians, and also duodecimalitarians, for their use of base 12. The people of the north of England saw common sense in their ideas, and welcomed their empire, while the southern and Welsh Idiots were opposed. They were also too warm for the Vikings, which was another reason for them staying away. No Viking wants to be too warm. After years of duodecimal rule, York, and the surrounding county (now republic) of Yorkshire was seen as the world capital of common sense.
However, the Normans slightly ruined things when they invaded places. They stuck to Christianity, which is one of the most prominent figures of decimalitarianism. They wrote all legal documents in base 10, meaning that everyone else had to follow suit. For nearly 640 years, antidecimalitarianism almost died out.
Antidecimalitarianism was revived in 1694, following the formation of the Bank of England. This set the currency at 12d = 1s and 20s = £1 (to keep the decimalitarians happy enough). Around this time, bakers started selling bread in dozens, reinforcing the use of the dozenial system (base 12). This stayed the same for almost 288 years.
15 February 1971 is considered the day on which this great period of duodecimalitarianism ended. This was Decimal Day, the day when the pound was split into 100 new pence. Fortunately for antidecimalitarians, this was the time that computer usage started to grow. Computers usually use binary internally, and at this time the only methods of number input were binary and hexadecimal. Due to binary numbers being massively long, most people prefer hexadecimal and the usage of the base lives on to this day.
edit Choice of base
For 1024s of years, base twelve was the base to use for antidecimaliterians; however, now that computers are about the use of hexadecimal has gone up. The antidecimaliterians still can't decide between themselves, with many not being able to make up their own minds. I won't go into this issue, read Wikipedia instead.
edit Controversy over angles and time
Despite popular myth, the units used for measuring angles and time were made by the decimaliterians. This may seem confusing, but it is true. We will start off with the example of 60 minutes in an hour. If the time was 5 past 8, the expected thing to be done by the average antidecimaliterian would be to say that the time was "about 6 past 8". However, 6 minutes is a tenth of an hour, making it unusable by the antidecimaliterians. So the antidecimaliterian has to say that it is "5 past 8", as there is nothing that an antidecimaliterian loves more than a fraction that can be expressed in terms of 12ths, and 5 minutes is a twelfth of an hour. This then leads the antidecimaliterian to start expressing more numbers as "near 5", eventually making them forget antidecimaliterianism and move to the dark side.