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Establish the Boolean identity A.B+A.B...

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

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To establish the Boolean identity \( A.B + A.B.C + \overline{B} + A.\overline{C} = B + A.C \), we will simplify the left-hand side (LHS) step by step and show that it is equal to the right-hand side (RHS). ### Step 1: Write down the LHS The left-hand side of the equation is: \[ LHS = A.B + A.B.C + \overline{B} + A.\overline{C} \] ...
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