Threshold Logic Circuits
Collection
Boolean gates, voting functions, modular arithmetic, and adders as threshold networks.
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threshold-7segment
BCD to 7-segment display decoder.
Function
segment_decode(B3, B2, B1, B0) -> {a, b, c, d, e, f, g}
Converts 4-bit BCD input (0-9) to 7 segment control signals.
Segment Layout
aaa
f b
ggg
e c
ddd
Digit Patterns
| Digit | a | b | c | d | e | f | g | Display |
|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 |
| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 |
| 2 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 2 |
| 3 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 3 |
| 4 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 4 |
| 5 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 5 |
| 6 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 6 |
| 7 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 7 |
| 8 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 8 |
| 9 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 9 |
Architecture
Two-layer design:
B3,B2,B1,B0 ─► [d0] ─┐
[d1] ─┤
[d2] ─┤ [OR] ─► a
[d3] ─┼─────► [OR] ─► b
[d4] ─┤ [OR] ─► c
[d5] ─┤ [OR] ─► d
[d6] ─┤ [OR] ─► e
[d7] ─┤ [OR] ─► f
[d8] ─┤ [OR] ─► g
[d9] ─┘
Layer 1: 10 digit detectors (pattern matchers) Layer 2: 7 OR gates combining relevant digits for each segment
Parameters
| Inputs | 4 |
| Outputs | 7 |
| Neurons | 17 |
| Layers | 2 |
| Parameters | 127 |
| Magnitude | 111 |
Usage
from safetensors.torch import load_file
# Full implementation in model.py
# Example: Display digit 5
# result = segment_decode(0, 1, 0, 1, weights)
# -> {'a':1, 'b':0, 'c':1, 'd':1, 'e':0, 'f':1, 'g':1}
License
MIT
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