. 2022 Nov 21;56(7):6101–6167. doi: 10.1007/s10462-022-10328-9

Table 4.

Position update with XOR operator

			1	2	XOR with 1	XOR with 2
$X_{i}^{d}$	$X_{k}^{d}$	$(X_{i}^{d} \oplus X_{k}^{d})$	$φ < 0.5$	$φ \leq 0.5$	$φ (X_{i}^{d} \oplus X_{k}^{d})$	$φ (X_{i}^{d} \oplus X_{k}^{d})$
0	0	0	1	0	1	0
0	1	1	0	1	0	1
1	0	1	0	1	1	0
1	1	0	1	0	0	1