how does base 4 help to understand our decimal system better?|||I don't know where you got that idea... maybe it has something to do with the order of numbers:
digits in decimal, in ORDER: 0,1,2,3,4,5,6,7,8,9. All numbers are formed containing only these digits. So the next numbers have two digits: 10 %26lt; 11 %26lt; 12 %26lt; 13 %26lt; ... %26lt; 98 %26lt; 99.
digits in base 4, in ORDER: 0,1,2,3. All numbers are formed containing only these digits. So the next numbers have two digits: 10 %26lt; 11 %26lt; 12 %26lt; 13 %26lt; 20 %26lt; 21 %26lt; 22 %26lt; 23 %26lt; 30 %26lt; 31 %26lt; 32 %26lt; 33. now come the 3 digit numbers: 100 %26lt; 101 %26lt; 102 %26lt; 103 %26lt; 110 %26lt; 111 %26lt; 112 %26lt; 113 %26lt; ... %26lt; 333 and so on with the 4 digits (or 10 digits in base four :)) ).
Hope you'll figure it out!
Best regards!
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