threshold-incrementer4bit

4-bit incrementer. Adds 1 to input (modulo 16).

Function

incrementer4bit(a3, a2, a1, a0) = (input + 1) mod 16

Truth Table (selected rows)

Input	Decimal	Output	Decimal
0000	0	0001	1
0001	1	0010	2
0111	7	1000	8
1111	15	0000	0

Architecture

y0 = NOT(a0)
y1 = a1 XOR a0
y2 = a2 XOR (a1 AND a0)
y3 = a3 XOR (a2 AND a1 AND a0)

Layer 1: Compute NOT(a0), carries (c2, c3), and XOR components for y1 Layer 2: Compute y1, XOR components for y2 and y3 Layer 3: Final AND gates for y2 and y3

Parameters

Inputs	4
Outputs	4
Neurons	12
Layers	3
Parameters	52
Magnitude	41

Usage

from safetensors.torch import load_file
# See model.py for full implementation

# 7 + 1 = 8
# incrementer4(0, 1, 1, 1) = [1, 0, 0, 0]

License

MIT