Consider a circuit with one input X and one output Z. The circuit should output Z=1 if and only if exactly two 1s, followed by a 0, followed by a 1 are detected at the input X. In other words, the circuit should detect the pattern 1101 when the pattern has been preceded by a 0. The following timing trace depicts the expected behavior for t solutionspile.com

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Consider a circuit with one input X and one output Z. The circuit should output Z=1 if and only if exactly two 1’s, followed by a 0, followed by a 1 are detected at the input X. In other words, the circuit should detect the pattern “1101” when the pattern has been preceded by a 0. The following timing trace depicts the expected behavior for the circuit. Detected patterns are underlined. One pattern of 1101 which should not be detected is shown in a rectangle; this pattern is not detected because it is preceded by a leading 1.

Not detected since pattern does not begin with exactly two 1s.
X 001101101 1 0 1 1 1 0 1 1 0 1 1 0 1 0 0 0
N
0 0 0 0 0 1 0 0

(6 pts) Design a synchronous circuit for this problem using D Flip-Flops. Show all your work

Not detected since pattern does not begin with exactly two 1's. X 001101101 1 0 1 1 1 0 1 1 0 1 1 0 1 0 0 0 N 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0

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