ECE251 hw9 - sol

# ECE251 hw9 - sol - NEW JERSEY INSTITUTE OF TECHNOLOGY DEPT...

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NEW JERSEY INSTITUTE OF TECHNOLOGY ACADEMIC YEAR 2008-2009 SEMESTER 1 ECE251 DIGITAL DESIGN S OLUTION HW9 1. We first compute the excitation and output functions: J Q Q K SET CLR J Q Q K SET CLR x Z 1 2 CK Fig. 1. Circuit for Pb. 1 1 1 Q x J = , 2 1 Q K = , 1 2 Q J = , 2 2 Q x K = , 2 1 Q xQ Z = Excitation table: PS 2 1 Q Q 1 J x= 0 x=1 1 K x= 0 x=1 2 J x= 0 x=1 2 K x= 0 x=1 00 1 0 1 1 1 1 0 0 01 1 0 0 0 1 1 1 0 10 0 1 1 1 0 0 0 0 11 0 1 0 0 0 0 1 0 Transition and output table: 1 PS 2 1 Q Q NS,Z x =0 2 1 Q Q x =1 2 1 Q Q 00 11,0 01,0 01 10,0 01,0 10 00,0 00,0 11 10,0 11,1

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State table using the given symbolic names: P S NS,Z x = 0 x =1 A D,0 B,0 B C,0 B,0 C A,0 A,0 D C,0 D,1 State diagram: A B C D -,0 0,0 0,0 0,0 1,0 Fig. 2. State diagram 1,0 1,1 Notice the don’t care condition on the arc from state C to state A (denoted by a dash). This happens because the move from C to A occurs independent of the value of the input (x ). 2.
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ECE251 hw9 - sol - NEW JERSEY INSTITUTE OF TECHNOLOGY DEPT...

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