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Unformatted text preview: (a) f = (B + D)(B' + C)(A' + C' + D) f A B C D 00 01 11 10 00 01 11 10 Static0 hazards: (0000) ↔ (0100), (1000) ↔ (1100), (1100) ↔ (1110) (b) f = (B + D)(B' + C)(C + D)(A' + D) is hazard free. D' C' f A D' B' D' B C' 4. Find all hazards in the threelevel circuit below. ( f = (BC + B'D)(A' + C' + D) = A'BC + BCC' + BCD + B'D f A B C D 00 01 11 10 00 01 11 10 1 1 1 1 1 1 1 Static1 hazards: (0011) ↔ (0111), (1111) ↔ (1011) Static0 hazard: (1100) ↔ (1110) Dynamic hazards: None (C only has two paths through the circuit.) Alternative solution: f = (BC + B'D)(A' + C' + D) = (B + B')(B + D)(B' + C)(C + D)(A' + C' + D) f A B C D 00 01 11 10 00 01 11 10 Static0 hazard: (1100) ↔ (1110) Static1 hazards: (0011) ↔ (0111), (1111) ↔ (1011) Dynamic hazards: None (B only has two paths through the circuit.)...
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 Fall '09
 LarryKinney
 Gate, The Circuit, BMW Sports Activity Series, Zero, Mega Man X Collection

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