1.

Establish the Boolean identity `A.B+A.B.C+bar.B+A.bar.C=B+A.C`

Answer» `A.B+A.B.C+barA.B+A.barB.C`
`=A.B+barA.B+A.B.C+A.barB.C`
`(A+barA).B+A.(B+barB).C=1.B+A.1.C`
`=B+A.C`


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