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Simplify $Y=\overline{(A+\overline{A}B)(C+\overline{D})}$ .
written 9.5 years ago by gravatar for teamques10 teamques10 ★ 70k •   modified 9.5 years ago

Mumbai University > COMPS > Sem 3 > Digital Logic Design and Analysis

Marks: 5 M

Year: May 2015
digital logic design
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written 9.5 years ago by gravatar for teamques10 teamques10 ★ 70k

$Y$ $=\overline{(A+\overline{A}B)(C+\overline{D})} \\ =(\overline{A+\overline{A}B})+(\overline{C+\overline{D}}).................\text{DeMorgan's Theorem} \\ =\overline{A+B}+(\overline{C+\overline{D}}).................A+\overline{A}=1 \\ =\overline{A+B}+\overline{C}D.................\text{DeMorgan's Theorem} \\ =\overline{A}\overline{B}+\overline{C}D$

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