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HW5soln-2730-F08

# HW5soln-2730-F08 - EE 2730 HW 5 solutions 1 EE 2730...

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EE 2730 — HW 5 solutions 1 EE 2730 — Homework 5 solutions Fall 2008 1. Given the state/output table below, fully reduce the number of states and construct the reduced state/output table. Make it clear which states have been combined. next state output z present state w =0 w =1 w =0 w =1 A F B 0 1 B D F 1 0 C G B 0 1 D F E 0 1 E C G 1 0 F F A 1 0 G F C 1 0 Following the partitioning process from the text results in the partition (ACD)(BE)(FG). This gives the following reduced state/output table. next state output z present state w =0 w =1 w =0 w =1 A F B 0 1 B A F 1 0 F F A 1 0 2. Design a sequential circuit to repeatedly count the sequence 1, 2, 4, 6, 5. Use T flip- flops. Assign the same value to a state as the output it is to produce, so, for example, assign value 001 to the state that is to produce output 1. We get the following state-assigned table. flip-flop inputs w =0 w =1 present state y 2 y 1 y 0 Y 2 Y 1 Y 0 T 2 T 1 T 0 Y 2 Y 1 Y 0 T 2 T 1 T 0 count z 2 z 1 z 0 000 ddd d d d ddd d d d ddd 001 001 0 0 0 010 0 1 1 001 010 010 0 0 0 100 1 1 0 010 011 ddd d d d

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