A sequential circuit has one input X, one output Z, and three flip-flops Q1, Q2 and Q3. The transition and output tables for the circuit follow: Present Next State Output (Z) State X = 0 X = 1 X = 0 X = 1 000 100 101 1 001 100 101 1 010 00 000 1 011 000 000 1 100 111 110 1 101 110 110 1 110 011 010 1 111 011 011 1 (a) Construct a timing chart for the input sequence X = 0101 and initial state Q,Q¿Q3 = 000. Identify any false outputs. (Assume that the flip-flops are rising- edge triggered and that the input changes midway between the rising and falling edges of the clock.) (b) List the output values produced by the input sequence.

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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A sequential circuit has one input X, one output Z, and three flip-flops Q1, Q2 and
Q3. The transition and output tables for the circuit follow:
Next State
Output (Z)
Present
State
X = 0
X = 1
X = 0
X = 1
00
100
101
1
001
100
101
1
010
00
00
1
011
000
00
1
100
111
110
1
101
110
110
1
110
011
010
1
111
011
011
1
(a) Construct a timing chart for the input sequence X = 0101 and initial state
QiQ¿Q3 = 000. Identify any false outputs. (Assume that the flip-flops are rising-
edge triggered and that the input changes midway between the rising and falling
edges of the clock.)
(b) List the output values produced by the input sequence.
Transcribed Image Text:A sequential circuit has one input X, one output Z, and three flip-flops Q1, Q2 and Q3. The transition and output tables for the circuit follow: Next State Output (Z) Present State X = 0 X = 1 X = 0 X = 1 00 100 101 1 001 100 101 1 010 00 00 1 011 000 00 1 100 111 110 1 101 110 110 1 110 011 010 1 111 011 011 1 (a) Construct a timing chart for the input sequence X = 0101 and initial state QiQ¿Q3 = 000. Identify any false outputs. (Assume that the flip-flops are rising- edge triggered and that the input changes midway between the rising and falling edges of the clock.) (b) List the output values produced by the input sequence.
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