threshold-gray2binary

4-bit Gray code to binary converter.

Function

gray2binary(G3, G2, G1, G0) -> (B3, B2, B1, B0)

Conversion formulas:

• B3 = G3
• B2 = G3 XOR G2
• B1 = G3 XOR G2 XOR G1
• B0 = G3 XOR G2 XOR G1 XOR G0

Example Conversions

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

Architecture

Cascade XOR structure with shared intermediate results:

G3 ──────────────────────────────────────────► B3
G3,G2 ─► [XOR] ─► X1 ────────────────────────► B2
              X1,G1 ─► [XOR] ─► X2 ──────────► B1
                            X2,G0 ─► [XOR] ──► B0

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

Parameters

Inputs	4
Outputs	4
Neurons	10
Layers	6
Parameters	46
Magnitude	33

Usage

from safetensors.torch import load_file
import torch

w = load_file('model.safetensors')

# Convert gray code 0110 (which is binary 4)
# Full implementation in model.py

License

MIT