Threshold Logic Circuits
Collection
Boolean gates, voting functions, modular arithmetic, and adders as threshold networks.
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248 items
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Updated
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D flip-flop (D latch) next-state logic as threshold circuit. Captures data input when clock is high.
D βββ
CLK βββΌβββΊ D-FF βββ¬βββΊ Q
Q_prev βββ ββββΊ Qn
| D | CLK | Q_prev | Q | Qn | Mode |
|---|---|---|---|---|---|
| X | 0 | 0 | 0 | 1 | Hold |
| X | 0 | 1 | 1 | 0 | Hold |
| 0 | 1 | X | 0 | 1 | Transparent |
| 1 | 1 | X | 1 | 0 | Transparent |
CLK=0: Hold mode
Q_next = Q_prev
Output maintains previous state
CLK=1: Transparent mode
Q_next = D
Output follows input
Q = (CLK Β· D) + (~CLK Β· Q_prev)
Qn = (CLK Β· ~D) + (~CLK Β· ~Q_prev)
Equivalent to a 2:1 MUX selecting between D and Q_prev based on CLK.
| Component | Neurons |
|---|---|
| Input logic (AND, NOT) | 5 |
| Hold paths | 2 |
| Output OR gates | 3 |
Total: 10 neurons, 35 parameters, 3 layers
This models level-sensitive behavior (D latch). For true edge-triggered D flip-flop, combine two D latches as master-slave.
from safetensors.torch import load_file
w = load_file('model.safetensors')
# Simulate over time:
q = 0
for d, clk in [(1,0), (1,1), (0,1), (0,0)]:
q_next = compute(d, clk, q, w)
q = q_next
threshold-d-flipflop/
βββ model.safetensors
βββ create_safetensors.py
βββ config.json
βββ README.md
MIT