Baixe o app para aproveitar ainda mais
Prévia do material em texto
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. Demonstre que: )()( CBACBAS ⊗⊕=⊕⊗= 4. Prove que: DCBADCBA ⊗⊗⊗=⊕⊕⊕ 2 5. Simplifique as expressões da questão 1, utilizando o diagrama de Veitch-Karnaugh. 6. 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 1 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 7. 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
Compartilhar