Chapter 4: Programming in Matlab - College of the Redwoods

278 Chapter 4 Programming in Matlab
A B A & B
1 1 1
1 0 0
0 1 0
0 0 0
A B A | B
1 1 1
1 0 1
0 1 1
0 0 0
A
∼ A
1 0
0 1
(a) AND (b) OR (c) NOT
Table 4.2.
Truth tables for Matlab’s logical operators.
The first and third entries of vectors u and v are logical 1’s (true), hence the
first and third entries of u&v will be logical 1’s (true). According to Table 4.2(a),
all other entries of u&v will be logical 0’s (false).
>> u, v, u&v
u =
1 1 1 0 0
v =
1 0 1 0 1
ans =
1 0 1 0 0
On the other hand, Table 4.2(b) indicates that u|v (OR) will be false if and
only if both entries are false. In the case of the vectors u and v, the fourth entry
of each vector is logical 0 (false), so the fourth entry of u|v will be logical 0 (false).
All other entries of u|v will be logical 1’s (true).
>> u, v, u|v
u =
1 1 1 0 0
v =
1 0 1 0 1
ans =
1 1 1 0 1
u.
Finally, ~u simply reverses the truth or falsehood of each entry of the vector