Hex Symbol; The table shows the conversion between the Decimal number system the Hex number system, and Binary number system. After the count of 15 both the hex and binary systems adds another column of numbers, as indicated below.

 Digit Hex Binary 0 0 0000 1 1 0001 2 2 0010 3 3 0011 4 4 0100 5 5 0101 6 6 0110 7 7 0111 8 8 1000 9 9 1001 10 A 1010 11 B 1011 12 C 1100 13 D 1101 14 E 1110 15 F 1111

Also see Table of Hex Symbols, and Hexadecimal Definition.

So Hex counts from 0 to F or 00 to 0F. Sixteen would be 1F, seventeen would be 2F and so on, up to FF. Than the next count is 100 and the LSB begins incrementing until it reaches F [10F]. At which point the middle digit begins incrementing [11F], until it reaches it final value [1FF].
I don't see a need to generate a large table showing the count sequence. I would think that most calculators would perform the conversion, although my 10 year calculator doesn't seem to.

Most engineers count in either hex or binary, depending on the length of the data. Normally anything over eight bits is counted in hex to make it easier to track the numbers.