The 64 hexagrams of the I Ching

Bottom/Top
Heaven
Lake
Fire
Thunder
Wind
Water
Mountain
Earth
Heaven
01-63
43-62
14-61
34-60
09-59
05-58
26-57
11-56
Lake
10-55
58-54
38-53
54-52
61-51
60-50
41-49
19-48
Fire
13-47
49-46
30-45
55-44
37-43
63-42
22-41
36-40
Thunder
25-39
17-38
21-37
51-36
42-35
03-34
27-33
24-32
Wind
44-31
28-30
50-29
32-28
57-27
48-26
18-25
46-24
Water
06-23
47-22
64-21
40-20
59-19
29-18
04-17
07-16
Mountain
33-15
31-14
56-13
62-12
53-11
39-10
52-09
15-08
Earth
12-07
45-06
35-05
16-04
20-03
08-02
23-01
02-00

In the above table, the first number is the traditional number and the second number is the binary number. The table is ordered in the binary sequence starting top row left and finishing bottom row right.
Each hexagram is made-up of two trigrams, the elemental names of each trigram are given at the start of each row (bottom trigram) and at the top of each column (top trigram).

I Ching related finer details & reference list