Table 1: Truth table of odd parity and the encoding used for input bits and output bits.

Inputs	Output	Encoded inputs	Encoded output
000	0	-1 -1 -1	-1
001	1	-1 -1 1	1
010	1	-1 1 -1	1
011	0	-1 1 1	-1
100	1	1 -1 -1	1
101	0	1 -1 1	-1
110	0	1 1 -1	-1
111	1	1 1 1	1