Desenhar as tabelas de verdade das seguintes funções booleanas simples: a) F1(A, B, C) = AB C + AB C + AC; b) F2(A, B, C) = A (B + C) (B + C); c...

a) Tabela de verdade da função F1(A, B, C) = AB C + AB C + AC: | A | B | C | AB C + AB C | AC | F1(A, B, C) | |---|---|---|-------------|----|-------------| | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 0 | 0 | 0 | | 0 | 1 | 0 | 0 | 0 | 0 | | 0 | 1 | 1 | 1 | 0 | 1 | | 1 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | 1 | 1 | | 1 | 1 | 0 | 1 | 1 | 1 | | 1 | 1 | 1 | 1 | 1 | 1 | b) Tabela de verdade da função F2(A, B, C) = A (B + C) (B + C): | A | B | C | B + C | (B + C) (B + C) | F2(A, B, C) | |---|---|---|-------|----------------|-------------| | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 1 | 1 | 0 | | 0 | 1 | 0 | 1 | 1 | 0 | | 0 | 1 | 1 | 1 | 1 | 0 | | 1 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 1 | 1 | 1 | | 1 | 1 | 0 | 1 | 1 | 1 | | 1 | 1 | 1 | 1 | 1 | 1 | c) Tabela de verdade da função F3(A, B, C, D) = A [B + C (B + D)]: | A | B | C | D | B + D | C (B + D) | B + C (B + D) | F3(A, B, C, D) | |---|---|---|---|-------|-----------|---------------|----------------| | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | d) Tabela de verdade da função F4(A, B, C) = AC + B C: | A | B | C | AC | B C | F4(A, B, C) | |---|---|---|----|-----|-------------| | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 0 | 0 | 0 | | 0 | 1 | 0 | 0 | 0 | 0 | | 0 | 1 | 1 | 0 | 1 | 1 | | 1 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 1 | 0 | 1 | | 1 | 1 | 0 | 0 | 0 | 0 | | 1 | 1 | 1 | 1 | 1 | 1 | e) Tabela de verdade da função F5(A, B, C) = A (B C + B C): | A | B | C | B C | B C | B C + B C | F5(A, B, C) | |---|---|---|-----|-----|-----------|-------------| | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 0 | 0 | 0 | 0 | | 0 | 1 | 0 | 0 | 0 | 0 | 0 | | 0 | 1 | 1 | 1 | 1 | 1 | 0 | | 1 | 0 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | 0 | 0 | 0 | | 1 | 1 | 0 | 0 | 0 | 0 | 0 | | 1 | 1 | 1 | 1 | 1 | 1 | 1 |