let there be any base "b"
That can represent anumberbythesumof their positional digits:
number = sum(d_i * b ^ i)
where i is the position index and d_i is the digit at this position. (note: index starts with0, fromthe least digit farthest totheright)
Wow I never thought about that.
But it is always like this:
let there be any base "b" That can represent a number by the sum of their positional digits: number = sum(d_i * b ^ i) where i is the position index and d_i is the digit at this position. (note: index starts with 0, from the least digit farthest to the right)
So the (decimal) number 4 in base 4 is then
1×4¹ + 0×4^0 = 10
And (decimal) number 8 in base 8 is
1×8¹ + 0×8^0 = 10
And 10 in base 10:
1×10¹ + 0×10^0 = 10
All your bases belong to 10
All your base are belong to 10
Someone set us up the base!
You have no chance to survive make your time.
Which is why to write hexadecimal, we added letters to it, because there isn’t a digit for “12”.