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Simplify this equation & realize using basic gates

written 7.7 years ago by teamques10 ★ 70k

•   modified 5.5 years ago

$ Y = ABC +B\overline{C}D + \overline{A}BC$

digital logic design

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written 7.7 years ago by teamques10 ★ 70k

•   modified 7.7 years ago

$Y =ABC + B\overline{C}D + \overline {A}BC $

$= BC + B\overline{C}D \hspace{2cm} since\hspace{.2cm} (A+\overline{A})=1 $

$= B(C+\overline{C}D) $

$=B(B+D) \hspace{2.2cm} since\hspace{.2cm}A+\overline{A}B=A+B $

Which is required expression the realization of this expression is as shown below

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