threshold-4to16decoder

4-to-16 binary decoder. Converts 4-bit binary input to one-hot 16-bit output.

Function

decode(a3, a2, a1, a0) -> [y0..y15] where yi=1 iff input=i

One-Hot Encoding

Input	a3a2a1a0	Output
0	0000	1000000000000000
1	0001	0100000000000000
5	0101	0000010000000000
10	1010	0000000000100000
15	1111	0000000000000001

Architecture

Single layer with 16 neurons. Each neuron yi is a pattern matcher for i:

• Weight +1 for bit positions that should be 1
• Weight -1 for bit positions that should be 0
• Bias = -(number of 1 bits in i)

All neurons run in parallel - no dependencies.

Parameters

Inputs	4
Outputs	16
Neurons	16
Layers	1
Parameters	80
Magnitude	96

Usage

from safetensors.torch import load_file
import torch

w = load_file('model.safetensors')

def decode_4to16(a3, a2, a1, a0):
    inp = torch.tensor([float(a3), float(a2), float(a1), float(a0)])
    return [int((inp * w[f'y{i}.weight']).sum() + w[f'y{i}.bias'] >= 0)
            for i in range(16)]

# Input 10 -> output 10 is hot
outputs = decode_4to16(1, 0, 1, 0)
print(outputs)  # [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0]

License

MIT