Seja a expressão: S = ( A + B + C ) . ( A ¯ + B ¯ + C ) {\displaystyle S=(A+B+C).({\bar {A}}+{\bar {B}}+C)}
Simplificação:
Lista de exercício álgebra booleana.
S 1 = ( A + B ¯ + C ) . ( A ¯ + B + C ¯ ) {\displaystyle S_{1}=(A+{\bar {B}}+C).({\bar {A}}+B+{\bar {C}})}
S 2 = ( A C ¯ + B + D ¯ ) + C ( A C D ¯ ) {\displaystyle S_{2}=({\overline {{\overline {AC}}+B+D}})+C({\overline {ACD}})}
S 3 = ( ( A + B ) . C ¯ ) + ( D ( C + B ) ¯ ) {\displaystyle S_{3}=({\overline {(A+B).C}})+({\overline {D(C+B)}})}
S 4 = ( A ¯ + B ¯ + C ¯ ) . ( A + B + C ¯ ) {\displaystyle S_{4}=({\bar {A}}+{\bar {B}}+{\bar {C}}).(A+B+{\bar {C}})}
S 5 = A ¯ . B ¯ . C + A ¯ . B . C + A ¯ . B . C ¯ + A . B . C + A . B C ¯ {\displaystyle S_{5}={\bar {A}}.{\bar {B}}.C+{\bar {A}}.B.C+{\bar {A}}.B.{\bar {C}}+A.B.C+A.B{\bar {C}}}
S = ( A . B ¯ ) {\displaystyle S=({\overline {A.B}})}
S = ( A ¯ + B ¯ ) {\displaystyle S=({\overline {{\bar {A}}+B}})\,}
S = ( A ⊕ B ¯ ) {\displaystyle S=({\overline {A\oplus B}})\,}
S = A ¯ ¯ {\displaystyle S={\overline {\bar {A}}}\,}
S = ( A B ¯ ) + ( A ¯ B ) {\displaystyle S=(A{\bar {B}})+({\bar {A}}B)\,}
S = ( B ¯ + C ) . ( B + C ) {\displaystyle S=({\bar {B}}+C).(B+C)}
S = B ¯ C D + B ¯ C D ¯ + B C ¯ D ¯ + B C ¯ D + B C D {\displaystyle S={\bar {B}}CD+{\bar {B}}C{\bar {D}}+B{\bar {C}}{\bar {D}}+B{\bar {C}}D+BCD}
S = B ¯ C ¯ D ¯ E ¯ + B ¯ C ¯ D E ¯ + B ¯ C ¯ D ¯ E + B C ¯ D E ¯ + B C D ¯ E {\displaystyle S={\bar {B}}{\bar {C}}{\bar {D}}{\bar {E}}+{\bar {B}}{\bar {C}}D{\bar {E}}+{\bar {B}}{\bar {C}}{\bar {D}}E+B{\bar {C}}D{\bar {E}}+BC{\bar {D}}E}
S = ( A + B + C ¯ ¯ ) + ( A + B ¯ ¯ ) {\displaystyle S=({\overline {A+B+{\bar {C}}}})+({\overline {A+{\bar {B}}}})}
S = ( ( A B C ¯ ) + ( A B ¯ C ) ¯ ) {\displaystyle S=({\overline {(AB{\bar {C}})+(A{\bar {B}}C)}})}
S = ( A ¯ + B ¯ + C ¯ ) + ( ( A ¯ + C ) . ( A ¯ + B ) ) ¯ {\displaystyle S=({\overline {{\bar {A}}+{\bar {B}}+C}})+({\overline {({\bar {A}}+C).({\bar {A}}+B))}}}
