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Khushi Shukla 2023-10-30 02:50:57 +05:30 committed by GitHub
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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]]) = }")