5. Basics of Digital Systems - Other Gates¶
There are other logic gates that are made from the 3 basic gates. Their functions are commonly used and that is why they are represented as gates.
5.1. NAND Gate¶
It is the negated function of the AND gate.
Truth table
| a | b | c = a NAND b |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
NAND Gate
5.2. NOR Gate¶
It is the negated function of the OR gate.
Truth table
| a | b | c = a NOR b |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |
NOR Gate
5.3. XOR Gate¶
If a and b are different the result is 1, otherwise 0.
| a | b | c = a XOR b |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
XOR Gate
5.4. XNOR Gate¶
If a and b are different the result is 0, otherwise 1.
| a | b | c = a XNOR b |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
XNOR Gate
