---
license: mit
tags:
- pytorch
- safetensors
- threshold-logic
- neuromorphic
---

# threshold-binary2gray

4-bit binary to Gray code converter.

## Function

binary2gray(B3, B2, B1, B0) -> (G3, G2, G1, G0)

Conversion formulas:
- G3 = B3
- G2 = B3 XOR B2
- G1 = B2 XOR B1
- G0 = B1 XOR B0

## Example Conversions

| Binary | Gray |
|--------|------|
| 0000 (0) | 0000 |
| 0001 (1) | 0001 |
| 0010 (2) | 0011 |
| 0011 (3) | 0010 |
| 0100 (4) | 0110 |
| 0101 (5) | 0111 |
| 0110 (6) | 0101 |
| 0111 (7) | 0100 |

## Architecture

Parallel XOR gates for each output bit:

```
B3 ─────────────────────────► G3
B3,B2 ─► [XOR] ─────────────► G2
B2,B1 ─► [XOR] ─────────────► G1
B1,B0 ─► [XOR] ─────────────► G0
```

Each XOR uses 3 neurons (OR, NAND, AND) with mag-7 structure.

## Parameters

| | |
|---|---|
| Inputs | 4 |
| Outputs | 4 |
| Neurons | 10 |
| Layers | 2 |
| Parameters | 43 |
| Magnitude | 33 |

## Usage

```python
from safetensors.torch import load_file
# Full implementation in model.py
```

## License

MIT