threshold-5outof8

Strict majority detector. Fires when more than half (5+ of 8) inputs are set.

Circuit

  x₀ x₁ x₂ x₃ x₄ x₅ x₆ x₇
   │  │  │  │  │  │  │  │
   └──┴──┴──┴──┼──┴──┴──┴──┘
               ▼
          ┌─────────┐
          │ w: all 1│
          │ b:  -5  │
          └─────────┘
               │
               ▼
            HW ≥ 5

Mechanism

• Sum = (number of 1s) - 5
• Fires when Hamming weight ≥ 5

This is the majority threshold for 8 inputs. A tie (4-4) doesn't pass. You need more 1s than 0s.

Functionally equivalent to threshold-majority.

k-out-of-8 Family

Circuit	Bias	Fires when
...	...	...
4-out-of-8	-4	HW ≥ 4
5-out-of-8	-5	HW ≥ 5 (this = majority)
6-out-of-8	-6	HW ≥ 6
...	...	...

Parameters

Weights	[1, 1, 1, 1, 1, 1, 1, 1]
Bias	-5
Total	9 parameters

Usage

from safetensors.torch import load_file
import torch

w = load_file('model.safetensors')

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

Files

threshold-5outof8/
├── model.safetensors
├── model.py
├── config.json
└── README.md

License

MIT