Question

Obtain the minterm canonical form of the Boolean expression by algebraic method.

ab + abc + a'b + ab'c

Answer 1

F ​= ab + abc + a′b + ab′c

   = ab(c + c′) + abc + a′b(c + c′) + ab′c

  = abc + abc′ + abc + a′bc + a′bc′ + ab′c

  = a′bc′ + a′bc + ab′c + abc′ + abc​ 

Therefore,

F = Σm(2, 3, 5, 6, 7)