Boolean Theorems:
DeMorgans Theorems
He suggest tha two teoream that forms an important part of
Boolean algebra.
In the equation form
1 . `A`B = `A + `B
The complement of the product is equal to the sum of the
complements.
|
A |
B |
`A`B |
`A
+ `B |
|
0 |
0 |
1 |
1 |
|
0 |
1 |
1 |
1 |
|
1 |
0 |
1 |
1 |
|
1 |
1 |
0 |
0 |
2 . `A + `B =`A`B
The complement of the sum is equal to the product of the
complements.
|
A |
B |
A + `B |
A`B |
|
0 |
0 |
1 |
1 |
|
0 |
1 |
0 |
0 |
|
1 |
0 |
0 |
0 |
|
1 |
1 |
0 |
0 |