this post was submitted on 23 May 2025
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[–] semperverus@lemmy.world 104 points 1 day ago

When you count up the 1's place, you go 0,1,2,3,4,5,6,7,8,9 and then it rolls over into the 10s place.

But in "base 4", it goes: 0,1,2,3,10,11,12,13,20. 3 is the highest value possible in any of the digits place.

Therefore "10" in base 4 = 4 in base 10, but saying it in base 4 is written as 10.

You can change your base to any base and whatever base it is would have to be written as base 10 because the number above the highest one in that base doesnt exist, it's 10.