threshold-nor4

4-input NOR gate. Outputs 1 only when all inputs are 0.

Circuit

  x1  x2  x3  x4
   │   │   │   │
   └───┴───┴───┘
         │
         ▼
    ┌──────────┐
    │w:-1,-1,-1,-1│
    │ b: 0     │
    └──────────┘
         │
         ▼
  NOR4(x1,x2,x3,x4)

Parameters

Weights	[-1, -1, -1, -1]
Bias	0
Magnitude	4

Optimality

Exhaustive enumeration of 681 configurations confirms magnitude 4 is optimal. 1 valid configuration exists.

Magnitude	Valid Configs
0-3	0
4	1

Usage

from safetensors.torch import load_file
import torch

w = load_file('model.safetensors')

def nor4(x1, x2, x3, x4):
    inputs = torch.tensor([float(x1), float(x2), float(x3), float(x4)])
    return int((inputs * w['weight']).sum() + w['bias'] >= 0)

License

MIT