Determine the simplified sop boolean expression, Computer Engineering

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Reduce the following equation using k-map
Y = BC‾D‾ + A‾BC‾D + ABC‾D + A‾BCD + ABCD

Ans.
Multiplying the first term with (A+A')
Y = A'BC'D' + ABC'D' + A'BC'D + ABC'D + A'BCD + ABCD
= ∑ (4,12,5,7,15,13)
= BC' + BD

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