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(10, 4) → Twos = 1 → Ext-GCD(5, 2) :

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	5		2	1	0	0	1
1	2	↔	5	0	1	1	0	3						1	2	6	1	3
2	1	↔	5	1	3	1	0	4	1	2	3	2	3	2	4	8	2	4
3	2		1	2	4	1	3	1						1	Even	Even	1	2
4	1		1	1	2	1	3	0
5	1		1	1	2	1	3	0
6	1		1	1	2	1	3	0
7	1		1	1	2	1	3	0
(1)(10) - (2)(4) = 2