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boolean_algebra/karnaugh_map_simplification.py
55 строк
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Khushi Shukla
Create karnaugh_map_simplification.py (#11056)
30 окт 2023, 00:20
Не верифицирован
30 окт 2023, 00:20
c7a1331
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""" https://en.wikipedia.org/wiki/Karnaugh_map https://www.allaboutcircuits.com/technical-articles/karnaugh-map-boolean-algebraic-simplification-technique """ def simplify_kmap(kmap: list[list[int]]) -> str: """ Simplify the Karnaugh map. >>> simplify_kmap(kmap=[[0, 1], [1, 1]]) "A'B + AB' + AB" >>> simplify_kmap(kmap=[[0, 0], [0, 0]]) '' >>> simplify_kmap(kmap=[[0, 1], [1, -1]]) "A'B + AB' + AB" >>> simplify_kmap(kmap=[[0, 1], [1, 2]]) "A'B + AB' + AB" >>> simplify_kmap(kmap=[[0, 1], [1, 1.1]]) "A'B + AB' + AB" >>> simplify_kmap(kmap=[[0, 1], [1, 'a']]) "A'B + AB' + AB" """ simplified_f = [] for a, row in enumerate(kmap): for b, item in enumerate(row): if item: term = ("A" if a else "A'") + ("B" if b else "B'") simplified_f.append(term) return " + ".join(simplified_f) def main() -> None: """ Main function to create and simplify a K-Map. >>> main() [0, 1] [1, 1] Simplified Expression: A'B + AB' + AB """ kmap = [[0, 1], [1, 1]] # Manually generate the product of [0, 1] and [0, 1] for row in kmap: print(row) print("Simplified Expression:") print(simplify_kmap(kmap)) if __name__ == "__main__": main() print(f"{simplify_kmap(kmap=[[0, 1], [1, 1]]) = }")