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

# threshold-6outof8

Supermajority detector. Fires when 6 or more of 8 inputs are set (75%+).

## Circuit

```
  x₀ x₁ x₂ x₃ x₄ x₅ x₆ x₇
   │  │  │  │  │  │  │  │
   └──┴──┴──┴──┼──┴──┴──┴──┘
               ▼
          ┌─────────┐
          │ w: all 1│
          │ b:  -6  │
          └─────────┘
               │
               ▼
            HW ≥ 6
```

## Mechanism

- Sum = (number of 1s) - 6
- Fires when Hamming weight ≥ 6

A 75% threshold. Tolerates up to 2 missing inputs.

## k-out-of-8 Family

| Circuit | Bias | Fires when |
|---------|------|------------|
| ... | ... | ... |
| 5-out-of-8 | -5 | HW ≥ 5 |
| **6-out-of-8** | **-6** | **HW ≥ 6 (this)** |
| 7-out-of-8 | -7 | HW ≥ 7 |
| 8-out-of-8 | -8 | HW = 8 |

## Parameters

| | |
|---|---|
| Weights | [1, 1, 1, 1, 1, 1, 1, 1] |
| Bias | -6 |
| Total | 9 parameters |

## Usage

```python
from safetensors.torch import load_file
import torch

w = load_file('model.safetensors')

def at_least_6(bits):
    inputs = torch.tensor([float(b) for b in bits])
    return int((inputs * w['weight']).sum() + w['bias'] >= 0)
```

## Files

```
threshold-6outof8/
├── model.safetensors
├── model.py
├── config.json
└── README.md
```

## License

MIT