threshold-4to2encoder

4-to-2 priority encoder. Outputs binary index of highest-priority set input.

Function

encode(I3, I2, I1, I0) -> (Y1, Y0)

Priority: I3 > I2 > I1 > I0

Truth Table (selected rows)

I3	I2	I1	I0	Y1	Y0	Index
0	0	0	0	0	0	0
0	0	0	1	0	0	0
0	0	1	x	0	1	1
0	1	x	x	1	0	2
1	x	x	x	1	1	3

Architecture

Single layer with 2 neurons:

Output	Weights [I3, I2, I1, I0]	Bias	Function
Y1	[1, 1, 0, 0]	-1	I3 OR I2
Y0	[3, -2, 1, 0]	-1	I3 OR (NOT I2 AND I1)

Parameters

Inputs	4
Outputs	2
Neurons	2
Layers	1
Parameters	10
Magnitude	10

Usage

from safetensors.torch import load_file
import torch

w = load_file('model.safetensors')

def encode4to2(i3, i2, i1, i0):
    inp = torch.tensor([float(i3), float(i2), float(i1), float(i0)])
    y1 = int((inp @ w['y1.weight'].T + w['y1.bias'] >= 0).item())
    y0 = int((inp @ w['y0.weight'].T + w['y0.bias'] >= 0).item())
    return y1, y0

print(encode4to2(0, 1, 1, 0))  # (1, 0) -> index 2 (I2 is highest)
print(encode4to2(1, 0, 0, 1))  # (1, 1) -> index 3 (I3 is highest)

License

MIT