Design and Implementation of a Laboratory Prototype for Boolean Function Simplification in Real Time
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Bibliographic record
Abstract
The aim of this study is to develop a three-variable Karnaugh-Map (K-MAP) in hardware.K-MAPs are extensively used in digital logic design for simplifying Boolean expressions.Here, we automate the process of Boolean expression simplification by designing a K-MAP hardware circuit, that can show the simplified expression in real-time.The hardware is comprised of input, combinatory, comparator, and output units.The input unit accepts minterms from the DIP switches.These minterms are processed in combinatory unit against all the possible combinations of boxes in power-of-two.The output from the boxes with higher power-of-two is kept in the comparator unit and the result is displayed on LEDs in the output unit.The proposed hardware design can be used in a classroom setting to teach the concepts of Boolean function simplification and verify the practice problems.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it