README.md

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

# threshold-7segment

BCD to 7-segment display decoder.

## Function

segment_decode(B3, B2, B1, B0) -> {a, b, c, d, e, f, g}

Converts 4-bit BCD input (0-9) to 7 segment control signals.

## Segment Layout

```
  aaa
 f   b
  ggg
 e   c
  ddd
```

## Digit Patterns

| Digit | a | b | c | d | e | f | g | Display |
|-------|---|---|---|---|---|---|---|---------|
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | `0` |
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | `1` |
| 2 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | `2` |
| 3 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | `3` |
| 4 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | `4` |
| 5 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | `5` |
| 6 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | `6` |
| 7 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | `7` |
| 8 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | `8` |
| 9 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | `9` |

## Architecture

Two-layer design:

```
B3,B2,B1,B0 ─► [d0] ─┐
             [d1] ─┤
             [d2] ─┤      [OR] ─► a
             [d3] ─┼─────► [OR] ─► b
             [d4] ─┤      [OR] ─► c
             [d5] ─┤      [OR] ─► d
             [d6] ─┤      [OR] ─► e
             [d7] ─┤      [OR] ─► f
             [d8] ─┤      [OR] ─► g
             [d9] ─┘
```

Layer 1: 10 digit detectors (pattern matchers)
Layer 2: 7 OR gates combining relevant digits for each segment

## Parameters

| | |
|---|---|
| Inputs | 4 |
| Outputs | 7 |
| Neurons | 17 |
| Layers | 2 |
| Parameters | 127 |
| Magnitude | 111 |

## Usage

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

# Example: Display digit 5
# result = segment_decode(0, 1, 0, 1, weights)
# -> {'a':1, 'b':0, 'c':1, 'd':1, 'e':0, 'f':1, 'g':1}
```

## License

MIT