XNOR Gate Calculator
What is an XNOR Gate?
The XNOR gate (sometimes referred to as the "Exclusive-NOR" or "Equivalence" gate) is a digital logic gate whose output is HIGH (1) only when its two inputs are the same. If the inputs are different (one is 0 and the other is 1), the output will be LOW (0). In essence, it is the logical complement of the XOR (Exclusive-OR) gate.
In Boolean algebra, the XNOR operation is represented as Y = A ⊙ B or Y = AB + A'B'. This signifies that the output is true if both A and B are true, or if both A and B are false.
Truth Table for XNOR Gate
| Input A | Input B | Output (Y) |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
How to Use the XNOR Calculator
Using this tool is straightforward for students, engineers, and hobbyists:
- Select the logic level for Input A (0 or 1).
- Select the logic level for Input B (0 or 1).
- The calculator instantly displays the Output (Y).
- The corresponding row in the Truth Table will be highlighted to help you visualize the logic flow.
Common Applications
XNOR gates are widely used in digital electronics for specific computational tasks:
- Digital Comparators: Since the output is 1 only when inputs match, XNOR gates are the primary building blocks for circuits that compare two binary numbers for equality.
- Error Detection: They are used in parity generators and checkers to ensure data integrity during transmission.
- Encryption: Like XOR, XNOR is used in various cryptographic algorithms to manipulate bitstreams.
Frequently Asked Questions
Is XNOR the same as an Equality gate? Yes, because the output is true only when the inputs are equal.
Can I build an XNOR gate from other gates? Yes, you can construct an XNOR gate using a combination of NAND gates or by placing an NOT gate after an XOR gate.