hw20_SLN - ECE 211 HW 20 SOLUTIONS p 1/8

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ECE 211 HW 20 SOLUTIONS p 1/8 //home/vdimitrov/25473/3b959f7957f7808d0b02c58b931089f284f2ed11.doc HW 20 SOLUTIONS 1. Determine the State Transition Diagram for the circuit shown. Solution: Q1+ = J1· Q1' + K1' · Q1 = (X ·Q0) · Q1' + (1)'· Q1 = X ·Q0 · Q1' Q0+ = J0· Q0' + K0' · Q0 = (X ·Q1') · Q0' + (1)'· Q0 = X ·Q1' · Q0' Z = X · Q1 Truth Table Q1 Q0 X Q1+ Q0+ Z 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 State Transition Diagram (next page)
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ECE 211 HW 20 SOLUTIONS p 2/8 (Problem 1) State Transition Diagram
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ECE 211 HW 20 SOLUTIONS p 3/8 2. (a) Determine the State Transition Diagram for the circuit shown. (b) Describe, in words, the behavior of the circuit. Solution: (a) Q1+ = J1· Q1' + K1' · Q1 = (X ·Q0) · Q1' + ( X ·Q0 )' · Q1 Q0+ = J0· Q0' + K0' · Q0 = (X ) · Q0' + (X )'· Q0 = X ·Q0' + X' · Q0 Z = Q1 · Q0 Truth Table Q1 Q0 X Q1+ Q0+ Z 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 State Transition Diagram (next page)
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ECE 211 HW 20 SOLUTIONS p 4/8 ( 2. ) (b) The circuit is a 2-bit binary counter (modulo-4 counter). The input X determines whether or not
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This homework help was uploaded on 04/17/2008 for the course ECE 211 taught by Professor Nestor during the Fall '07 term at Lafayette.

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hw20_SLN - ECE 211 HW 20 SOLUTIONS p 1/8

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