#7 - #10 coming soon. #1: 12 has a LOT of divisors, namely 1, 2, 3, 4, 6, and 12, making it a good base and #1, while it does SUCK with fives and sevens (who cares about those), at least it doesn't suck with threes and sixes. (A third is 0.4, a fourth is 0.3, and a sixth is 0.2). #2: Since the last digit in hexadecimal is equal to 15 in decimal, this means that the multiples of 3 and 5's digits will add up to a multiple of 3 and 5 respectively, but six new digits DO have to be learnt compared to dozenal's two, and it SUCKS with sevens, elevens and thirteens (but who cares about those) so it only gets #2. #3: Kinda similar reasoning with Hexadecimal, the last digit is 5, meaning that the sum of every multiple of 5's digits will add up to a multiple of 5, it IS good with halves, and thirds, but also fifths and sevenths (1/5 = 0.(1), 1/11 = 0.(05)) 6 IS already divisible by 2 and 3 so it's already good with those, but despite these advantages, it is too small of a base, it only gets #3 and bigger numbers require more digits. #4: Decimal is the base we ALL use, most likely because humans have 10 fingers and 10 toes, but it isn't THAT good, since it's not the best with thirds and SUCKS with sevenths (1/3 = 0.(3), 1/7 = 0.(142857)). The last digit is 9, which means that all multiples of 3's (3 is a prime factor of 9) digits will add up to a multiple of 3, but the only thing it's really good for is twos and fives. : Octal IS a downgrade from all the other bases, but it's basically a better version of binary, giving it . : Binary, being the most "efficient way of representing data" sucks. This is because bigger numbers require much more digits (it's a very small base), and it's a prime base too.
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