Table 1:
The effect of negation of an input variable (
𝑥
1
) on the truth table of a Boolean switching function. Note that the output vector of the function is generally referred to as
𝑍
, with
𝑧
𝑖
being individual elements of
𝑍
.
𝑥
3
𝑥
2
𝑥
1
𝑓
(
𝑋
)
𝑥
3
𝑥
2
𝑥
1
𝑓
(
𝑋
)
000
𝑧
0
000
𝑧
1
001
𝑧
1
001
𝑧
0
010
𝑧
2
010
𝑧
3
011
𝑧
3
→
011
𝑧
2
100
𝑧
4
100
𝑧
5
101
𝑧
5
101
𝑧
4
110
𝑧
6
110
𝑧
7
111
𝑧
7
111
𝑧
6