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The Boolean expression A‾.B + A.B‾ + A.B is equivalent to ?
Ans. The Boolean expression A‾ .B + A. B‾+ A.B is equivalent to A + B
(A‾ .B + A. B‾+ A.B = B( A‾ + A) + A. B‾= B + A. B‾ {Q ( A‾ + A) = 1}= A + B {Q (B + A.B‾) = B + A}
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Q.Prove using Boolean Algebra 1. X (X+Y) = X 2. AB + AC + BC' = AC + BC' 3. (A+B+C) (A+B'+C') (A+B+C') (A+B'+C)=A 4. (A+B'+C) (AB+A'C) = (A+C) (A'+B) 5. XY + XZ + YZ
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