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Design a sequence recognizer, using a minimum number of D - flipflops, that can detect the sequence 1 0 0 1 . The

Design a sequence recognizer, using a minimum number of D-flipflops, that can detect the sequence "1001". The recognizer circuit has only one input (x) where one bit of input is supplied on every clock cycle. There is one output (Y) that becomes "1" when the desired pattern is detected. Make sure to include all design steps such as the state diagram, state table, K-maps, and Boolean expressions.
The following example that shows the detection of the desired bit pattern "1001":
Input (x):,11100110100100110dots
Output (Y): 00000100000100100dots (Y becomes 1 when the pattern is detected)
Note:
If the solution produces correct results but doesn't use a minimum number of D Flip-Flops, you will lose 13 of the total weight (i.e.,5 points deduction).
If the solution doesn't produce correct results, the deduction will be based on multiple factors including the procedure, number of correct steps, etc.
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