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Prove the equations A + A‾ .B + A.B‾ = A + B using the Boolean algebraic theorems ?
Ans. The equation is A + A‾.B + A.B‾ = A + BL.H.S. = A + A‾ .B + A.B‾= (A + A.B‾) + A‾.B= A (1+ B‾) + A‾.B= A + A‾ .B (? 1+B‾ =1)= (A +A‾ ) (A + B)= (A + B) (? A + A‾ = 1)= R.H.SThus Proved
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Perform the subtraction using 1's complement of 11001 - 10110 Ans. 11001 - 10110 = X - Y X = 11001 1's complement of Y = 01001
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