Aliens numbering system
In a parallel universe, instead of using the decimal system, aliens use exactly the set of 26 letters of the English alphabet, . To them, A denotes 0, B denotes 1, … and Z denotes 25. All other numbers like 26, 27, ...,etc. can be represented in the aliens' numbering system.
The serial number was written on one of their spaceships.
Find the equivalent decimal value of that number.
The answer is 2017.
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1 solution
In this problem, There are only 26 letters to use to express any number.
0 = A
1 = B
2 = C
....
25 = Z
26 = BA = B x16+ A x 1 = 1 x 26+0 = 26.
The aliens are using a numbering system of base 2 6 , then the number C Z P 2 6 = 2 ⋅ 2 6 2 + 2 5 ⋅ 2 6 + 1 5 = 2 0 1 7 1 0