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

Marks: 5 M

Year: Dec 2014

$Y$ $=ABC(\overline{CD})+\overline{BC}D+\overline{(AC)}(B+D) \\ =ABC(\overline{C}+\overline{D})+\overline{BC}D+(\overline{AC})(B+D) \\ \hspace{5cm} \text{DeMorgans Theorum} [\overline{CD}=\overline{C}+\overline{D}] \\ =ABC\overline{C}+ABC\overline{D}+\overline{B}CD+\overline{A}B\overline{C}+\overline{A}\overline{B}D \\ \hspace{5cm} \text{Complement of} [C\overline{C}=0]$

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