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In the remainder of this section, we present the specific functions used in DES.

The initial permutation IP is as follows:

IP
58 50 42 34 26 18 10 2
60 52 44 36 28 20 12 4
62 54 46 38 30 22 14 6
64 56 48 40 32 24 16 8
57 49 41 33 25 17   9 1
59 51 43 35 27 19 11 3
61 53 45 37 29 21 13 5
63 55 47 39 31 23 15 7

This means that the 58th bit of x is the first bit of IP(x); the 50th bit of x is the second bit of IP(x), etc.

The inverse permutation IP-1 is:

IP-1
40 8 48 16 56 24 64 32
39 7 47 15 55 23 63 31
38 6 46 14 54 22 62 30
37 5 45 13 53 21 61 29
36 4 44 12 52 20 60 28
35 3 43 11 51 19 59 27
34 2 42 10 50 18 58 26
33 1 41   9 49 17 57 25

The expansion function E is specified by the following table:

E bit-selection table
32   1   2   3   4   5
  4   5   6   7   8   9
  8   9 10 11 12 13
12 13 14 15 16 17
16 17 18 19 20 21
20 21 22 23 24 25
24 25 26 27 28 29
28 29 30 31 32   1


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