A three-variable Boolean function, F, is expressed as (A, B, C and D are the logical variables):

F = Σm(2, 4, 8, 9, 11, 12, 13)

The minimal sum of products expression for this Boolean function is

1
AB̅D + CD̅
2
BCA̅ + AD
3
A̅B̅CD̅ + BC̅ D̅ + AC̅ + AB̅D
4
BC̅D + AD̅ + AC̅

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