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, 11) :

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 11 1 0 0 1
1 8 11 1 0 0 1 3 4 12 8 6 4
2 4 11 6 4 0 1 7 2 Even Even 3 2
3 2 11 3 2 0 1 9 1 14 10 7 5
4 1 11 7 5 0 1 10 1 7 6 7 6 5 18 14 9 7
5 5 1 9 7 7 5 4 0 16 12 5 4 2 16 12 8 6
6 2 1 8 6 7 5 1 1 Even Even 4 3
7 1 1 7 5 4 3 0
(7)(8) - (5)(11) = 1