a b | c=a&b  and(c,a,b)
0 0 | 0
0 1 | 0
0 x | 0
0 z | 0
1 0 | 0
1 1 | 1
1 x | x
1 z | x
x 0 | 0
x 1 | x
x x | x
x z | x
z 0 | 0
z 1 | x
z x | x
z z | x

a b | c=a|b  or(c,a,b)
0 0 | 0
0 1 | 1
0 x | x
0 z | x
1 0 | 1
1 1 | 1
1 x | 1
1 z | 1
x 0 | x
x 1 | 1
x x | x
x z | x
z 0 | x
z 1 | 1
z x | x
z z | x

a b | c=a^b  xor(c,a,b)
0 0 | 0
0 1 | 1
0 x | x
0 z | x
1 0 | 1
1 1 | 0
1 x | x
1 z | x
x 0 | x
x 1 | x
x x | x
x z | x
z 0 | x
z 1 | x
z x | x
z z | x

a | c=~a  not(c,a)
0 | 1
1 | 0
x | x
z | x