The XOR (Exclusive OR) gate outputs True (1) only when the inputs are different.
1. Look at the first row: A=0, B=0. Inputs are the same, so output is 0.
2. Look at the second row: A=0, B=1. Inputs are different, so output is 1.
3. Look at the third row: A=1, B=0. Inputs are different, so output is 1.
4. Look at the fourth row: A=1, B=1. Inputs are the same, so output is 0.
Fill these values into the table.
Full Answer
An XOR (Exclusive OR) gate is a digital logic gate that gives a true (1 or HIGH) output when the number of true inputs is odd. In the case of a two-input XOR gate, the output is true only when the inputs are different.
- **A=0, B=0:** Inputs are the same. Output is 0.
- **A=0, B=1:** Inputs are different. Output is 1.
- **A=1, B=0:** Inputs are different. Output is 1.
- **A=1, B=1:** Inputs are the same. Output is 0.
The completed truth table is:
| A | B | A XOR B |
|---|---|---------|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
Common mistakes
✗ Confusing XOR with OR (which outputs 1 if A, B, or both are 1).
✗ Confusing XOR with AND (which only outputs 1 if both A and B are 1).
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