threshold-2to4decoder

2-to-4 binary decoder. Converts 2-bit input to one-hot 4-bit output.

Function

decode(A1, A0) -> [Y0, Y1, Y2, Y3]

Yi = 1 iff input = i

Truth Table

A1 A0 Y0 Y1 Y2 Y3
0 0 1 0 0 0
0 1 0 1 0 0
1 0 0 0 1 0
1 1 0 0 0 1

Architecture

Single layer with 4 neurons. Each Yi matches pattern i.

Output Weights [A1, A0] Bias
Y0 [-1, -1] 0
Y1 [-1, +1] -1
Y2 [+1, -1] -1
Y3 [+1, +1] -2

Parameters

Inputs 2
Outputs 4
Neurons 4
Layers 1
Parameters 12
Magnitude 12

Usage

from safetensors.torch import load_file
import torch

w = load_file('model.safetensors')

def decode2to4(a1, a0):
    inp = torch.tensor([float(a1), float(a0)])
    return [int((inp * w[f'y{i}.weight']).sum() + w[f'y{i}.bias'] >= 0) for i in range(4)]

print(decode2to4(1, 0))  # [0, 0, 1, 0] - input 2

License

MIT

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