A function with don’t care condition is as follows:

f (a, b, c, d) = ∑ m (0, 2, 3, 5, 7, 8, 9, 10, 11) + ∑ dc (1, 15)

The valid expression for this function is:

1
a̅ b̅ + c d + a b̅ + a̅ d
2
b̅ + c d + a̅ d
3
a b̅ + b̅ d̅ + b̅ c + a̅bd
4
a b̅ + b̅ d̅ + b̅ c + bd

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