### DeMorgan' Laws

E.g.1

De Morgan's laws are indispensable in digital electronics. The laws outlined by him are simple to understand, yet transformed the Boolean algebra in a dramatic way.

A + B = A.B

Proof:

Input and Output
A BA+BA + B
1 010
0110
0001
1110

Input and Output
A BABA.B
10010
01100
00111
11000

#### Second Law

A.B = A + B

Proof:

 Input and Output A B A.B A.B 1 0 0 1 0 1 0 1 0 0 0 1 1 1 1 0

 Input and Output A B A B A + B 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 1 1 0 0 0

Now try the following with a circuit and a truth table:

1. A + B.C = A.B.C
2. A + B.C + A.B = A.B
3. A + AB = A + B
4. AB + AB = A

### Resources at Fingertips

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