data/problems/162.yml
---
:id: 162
:name: Hexadecimal numbers
:url: https://projecteuler.net/problem=162
:content: "In the hexadecimal number system numbers are represented using 16 different
digits:\n\n0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F\n\nThe hexadecimal number AF when written
in the decimal number system equals 10x16+15=175.\n\nIn the 3-digit hexadecimal
numbers 10A, 1A0, A10, and A01 the digits 0,1 and A are all present. \nLike numbers
written in base ten we write hexadecimal numbers without leading zeroes.\n\nHow
many hexadecimal numbers containing at most sixteen hexadecimal digits exist with
all of the digits 0,1, and A present at least once? \nGive your answer as a hexadecimal
number.\n\n(A,B,C,D,E and F in upper case, without any leading or trailing code
that marks the number as hexadecimal and without leading zeroes , e.g. 1A3F and
not: 1a3f and not 0x1a3f and not $1A3F and not #1A3F and not 0000001A3F)\n\n"