a) Tabela de verdade para f(A, B, C) = A (B + C) (B + C): | A | B | C | B + C | A(B + C) | (B + C)(B + C) | f(A, B, C) | |---|---|---|-------|----------|---------------|------------| | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 1 | 0 | 1 | 0 | | 0 | 1 | 0 | 1 | 0 | 1 | 0 | | 0 | 1 | 1 | 1 | 0 | 1 | 0 | | 1 | 0 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 1 | 1 | 1 | 1 | | 1 | 1 | 0 | 1 | 1 | 1 | 1 | | 1 | 1 | 1 | 1 | 1 | 1 | 1 | b) Tabela de verdade para f(A, B, C, D) = A (B + C (B + D)): | A | B | C | D | B + D | C(B + D) | B + C(B + D) | A(B + C(B + D)) | f(A, B, C, D) | |---|---|---|---|-------|----------|--------------|------------------|----------------| | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | c) Tabela de verdade para f(A, B, C) = AC + BC: | A | B | C | AC | BC | AC + BC | f(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 | 0 | 1 | 1 | 1 | | 1 | 0 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 1 | 0 | 1 | 1 | | 1 | 1 | 0 | 0 | 0 | 0 | 0 | | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
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