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We can use an algebraic description of the circuit ’ s functional behavior in the analysis of a larger system that includes the circuit. We can determine the behavior of the circuit for various input combinations. 4.2 Combinational-Circuit Analysis ReturnNext We analyze a combinational logic circuit by obtaining a formal description of its logic function. We can manipulate an algebraic description to suggest different circuit structures for the logic function. We can transform an algebraic description into a standard form corresponding to an available circuit structure.

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4.2 Combinational-Circuit Analysis NextBackReturn 1. Given a logic diagram for a combinational circuit, obtain the truth table. X 00001111 y 00110011 Z 01010101 11001111 11110000 00110011 10101010 01000101 00100000 01100101 F 11001100 00001111 01010101

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4.2 Combinational-Circuit Analysis NextBackReturn 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 x y z 0110010101100101 0123456701234567 FRow

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4.2 Combinational-Circuit Analysis NextBackReturn 2. Logic expressions for signal lines x y z y z

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x y z F Two-level AND-OR circuit y x z z 4.2 Combinational-Circuit Analysis NextBackReturn 3. Sum-of-products expression

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4.2 Combinational-Circuit Analysis NextBackReturn 4. Product-of-sums expression

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F x y z y x z z Two-level OR-AND circuit 4.2 Combinational-Circuit Analysis 4. Product-of-sums expression BackReturn

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