Boolean expression y = ab + a'c + bc can be optimized as
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AB+A′C+BC=AB+A′C+BC(A+A′)(A+A′=1, Complementarity law)
=AB+A′C+ABC+A′BC
=AB+ABC+A′C+ABC(Associative law)
=AB+A′C(Absorption law)
=AB+A′C+ABC+A′BC
=AB+ABC+A′C+ABC(Associative law)
=AB+A′C(Absorption law)
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