CharlesCNorton
4-bit incrementer, magnitude 41
76be67c
metadata
license: mit
tags:
  - pytorch
  - safetensors
  - threshold-logic
  - neuromorphic

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