X = 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15
Y = 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15
X ↔ Y

Ext-GCD(8, 15) :

i GCD Bezout AOdd : AEven :
A B ax ay bx by |A-B| A↔B Sx Sy ax
Sx'
ay
Sy'
A
A/2
ax
ax + Y
ay
ay + X
ax
ax/2
ay
ay/2
0 8 15 1 0 0 1
1 8 15 1 0 0 1 7 4 16 8 8 4
2 4 15 8 4 0 1 11 2 Even Even 4 2
3 2 15 4 2 0 1 13 1 Even Even 2 1
4 1 15 2 1 0 1 14 1 2 2 2 2 7 Even Even 1 1
5 7 1 1 1 2 1 6 0 3 2 3 2 3 18 10 9 5
6 3 1 9 5 2 1 2 0 11 6 11 6 1 26 14 13 7
7 1 1 2 1 13 7 0
(2)(8) - (1)(15) = 1