X-NoR gate ?

An X-NOR gate is a digital logic gate that outputs a high signal (1) only when both of its inputs are the same (both 0 or both 1). It is essentially the opposite of an XOR gate, which outputs a high signal when the inputs are different. The X-NOR gate is also known as an equivalence gate because it outputs a high signal when the inputs are equivalent.

X-NoR Gate

Symbol:

```
+-----+
| XNoR|
+-----+
```

Logic Diagram:


Truth Table:

| A | B | X-NoR |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |

Function:

The X-NoR (Exclusive NoR) gate is a logical gate that outputs a high (1) signal if and only if both inputs are the same (both high or both low). Otherwise, it outputs a low (0) signal.

Equivalent Circuit:

An X-NoR gate can be constructed using NAND gates:


Applications:

- Equivalence checking: Determines whether two signals are logically equivalent.
- Error detection: Detects single-bit errors in data transmission.
- Data compression: Encodes data in a more compact form by removing redundant bits.