Semi-conductor Devices and Electronics
12.0 Boolean identities
12.0 Boolean identitiesS No.
| Identities
|
1
| $A + B = B + A$
|
2
| $A \cdot B = B \cdot A$
|
3
| $A + (B + C) = (A + B) + C$
|
4
| $A \cdot (B \cdot C) = (A \cdot B) \cdot C$
|
5
| $A \cdot (B + C) = A \cdot B + A \cdot C$
|
6
| $A + 0 = A$
|
7
| $A \cdot 1 = A$
|
8
| $A + 1 = 1$
|
9
| $A \cdot 0 = 0$
|
10
| $A + A = A$
|
11
| $A \cdot A = A$
|
12
| $A + \overline A = 1$
|
13
| $A \cdot \overline A = 0$
|
14
| $\overline {\overline A } = A$
|
15
| $\overline {A + B} = \overline A \cdot \overline B $
|
16
| $\overline {A \cdot B} = \overline A + \overline B $
|
17
| $A + A \cdot B = A$
|
18
| $A \cdot (A + B) = A$
|
19
| $A + \overline A \cdot B = A + B$
|
20
| $A \cdot (\overline A + B) = A \cdot B$ |
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