Question

The equivalent expression for the following Boolean expression is/are

$F(A,B,C,D)=B\overline{D}+\overline{B}CD+ABC+AB\overline{C}D+\overline{B}\overline{D}$

Answer 1

$F=D+(B+\overline{B})+\overline{B}CD+ABC+AB\overline{C}D$

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

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

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

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

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

$F=\overline{D}+\overline{B}C+AB$