Lista Exercicios - Eletronica Digital 03

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Ericles Mauricio

26/05/2019

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1 
Disciplina: Eletrônica Digital 
Professora: Priscila Doria 
Nome do aluno: 
 
Lista de Exercícios Nº 3 
 
1. Simplifique as expressões abaixo, utilizando a Álgebra de Boole. 
 
a. CBABCAABCCBACABS ++++= 
 
b. ABCDDCBADABCDBCADCABDCBADCABS ++++++= 
 
c. )(]))([( CABCBACCBADCBS ++++++++= 
 
d. ABCBADCCBADCBAS ++++++= ])()([ 
 
e. DABADCBDDCBBAS +++++⊕= ])()[( 
 
f. )]()())(([ BAACBCACBCBAACDDCBS +++++++++= 
 
g. }])([){( ACBACBADCBADDCBAS ++++⊕++= 
 
h. }])()[(){( ABDDBCBDABCBACBBBAS +++++⊕++= 
 
i. ABCCBABCACBACBAS ++++= 
 
j. DCBAABCDDCBABCDADCABDCBACDBADCBAS +++++++= 
 
k. CACDBADCBAADBS ++++= 
 
l. DCBADCBCDBDBCDAABABCS ++++++= 
 
2. Simplifique a expressão e desenhe o circuito que executa a expressão simplificada. 
 
})]([){( DCBACBCBADCBDBS +++++⊗++= 
 
3. Obtenha o circuito simplificado que executa a expressão: 
 
])()()[( CBADCABBAS ++++⊕= 
 
4. Demonstre que: 
 
)()( CBACBAS ⊗⊕=⊕⊗= 
 
 
 
 2 
 
5. Prove que: 
DCBADCBA ⊗⊗⊗=⊕⊕⊕ 
 
 
6. Simplifique as expressões da questão 1, utilizando o diagrama de Veitch-Karnaugh. 
 
7. Através dos diagramas de Veitch-Karnaugh, determine a expressão simplificada de S1 e S2. 
 
a. A B S1 S2 
0 0 1 1 
0 1 0 1 
1 0 1 0 
1 1 1 0 
 
b. A B C S1 S2 
0 0 0 X 1 
0 0 1 0 X 
0 1 0 1 0 
0 1 1 X 0 
1 0 0 1 0 
1 0 1 X 1 
1 1 0 X X 
1 1 1 1 X 
 
c. A B C D E S1 S2 
0 0 0 0 0 1 1 
0 0 0 0 1 1 0 
0 0 0 1 0 1 1 
0 0 0 1 1 1 0 
0 0 1 0 0 0 1 
0 0 1 0 1 1 1 
0 0 1 1 0 0 1 
0 0 1 1 1 1 1 
0 1 0 0 0 0 1 
0 1 0 0 1 0 0 
0 1 0 1 0 1 1 
0 1 0 1 1 0 0 
0 1 1 0 0 1 1 
0 1 1 0 1 1 1 
0 1 1 1 0 0 1 
0 1 1 1 1 1 1 
1 0 0 0 0 1 1 
1 0 0 0 1 1 0 
1 0 0 1 0 0 1 
1 0 0 1 1 0 1 
1 0 1 0 0 0 1 
1 0 1 0 1 1 1 
1 0 1 1 0 0 1 
1 0 1 1 1 1 1 
1 1 0 0 0 0 1 
1 1 0 0 1 0 0 
1 1 0 1 0 1 1 
1 1 0 1 1 0 0 
1 1 1 0 0 0 1 
1 1 1 0 1 1 1 
1 1 1 1 0 0 1 
1 1 1 1 1 1 1 
 
d. A B C D E S1 S2 
0 0 0 0 0 0 1 
0 0 0 0 1 0 X 
0 0 0 1 0 1 1 
0 0 0 1 1 0 X 
0 0 1 0 0 1 X 
0 0 1 0 1 1 1 
0 0 1 1 0 0 X 
0 0 1 1 1 1 1 
0 1 0 0 0 0 1 
0 1 0 0 1 0 0 
0 1 0 1 0 1 1 
0 1 0 1 1 0 0 
0 1 1 0 0 1 X 
0 1 1 0 1 1 1 
0 1 1 1 0 0 0 
0 1 1 1 1 1 1 
1 0 0 0 0 0 1 
1 0 0 0 1 0 X 
1 0 0 1 0 1 1 
1 0 0 1 1 0 0 
1 0 1 0 0 1 X 
1 0 1 0 1 1 1 
1 0 1 1 0 0 0 
1 0 1 1 1 1 1 
1 1 0 0 0 0 X 
1 1 0 0 1 0 1 
1 1 0 1 0 1 1 
1 1 0 1 1 0 1 
1 1 1 0 0 1 1 
1 1 1 0 1 1 X 
1 1 1 1 0 0 1 
1 1 1 1 1 1 X 
 
 
 
 
 
 3 
8. Simplifique as expressões de S1, S2, S3, S4, utilizando os mapas de Veitch-Karnaugh. 
 
a. A B C D S1 S2 S3 S4 
0 0 0 0 1 1 0 0 
0 0 0 1 1 0 0 0 
0 0 1 0 1 1 1 0 
0 0 1 1 1 0 0 1 
0 1 0 0 1 1 1 1 
0 1 0 1 0 1 1 1 
0 1 1 0 0 1 1 0 
0 1 1 1 1 1 0 1 
1 0 0 0 1 1 0 0 
1 0 0 1 1 1 0 1 
1 0 1 0 1 0 1 0 
1 0 1 1 1 0 0 0 
1 1 0 0 1 0 0 0 
1 1 0 1 0 1 1 1 
1 1 1 0 0 0 0 1 
1 1 1 1 1 1 0 1 
 
b. 
 
A B C D S1 S2 S3 S4 
0 0 0 0 1 X 0 X 
0 0 0 1 X X 0 0 
0 0 1 0 X 1 0 X 
0 0 1 1 X 0 1 1 
0 1 0 0 1 X X 1 
0 1 0 1 0 1 X X 
0 1 1 0 X 0 1 0 
0 1 1 1 X 1 0 1 
1 0 0 0 X 1 X 0 
1 0 0 1 1 0 1 1 
1 0 1 0 X X 0 0 
1 0 1 1 1 1 0 X 
1 1 0 0 X 0 1 1 
1 1 0 1 X 1 0 1 
1 1 1 0 1 1 X 1 
1 1 1 1 0 X 1 X 
c. A B C S1 S2 S3 S4 
0 0 0 1 1 0 0 
0 0 1 0 1 1 1 
0 1 0 1 1 0 1 
0 1 1 1 0 0 0 
1 0 0 1 1 1 1 
1 0 1 1 1 1 0 
1 1 0 0 1 1 1 
1 1 1 1 0 0 1