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Predict the output of the following sequence detector ‘10101’ non overlapping (LSB first), where the output toggles whenever the sequence is detected for the input sequence ‘001010100101011’. Assume initial output as ‘0’11111111100000011111110000001100000010000010000000111111100

Question

Predict the output of the following sequence detector ‘10101’ non overlapping (LSB first), where the output toggles whenever the sequence is detected for the input sequence ‘001010100101011’. Assume initial output as ‘0’11111111100000011111110000001100000010000010000000111111100

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Solution

The sequence detector is looking for the sequence '10101' in the input sequence '001010100101011'. The sequence detector is non-overlapping and reads from the least significant bit (LSB) first. The initial output is '0'.

Let's break down the input sequence and match it with the sequence detector:

Input sequence: 001010100101011 Sequence detector: 10101

Starting from the right (LSB first), we look for the sequence '10101'.

  1. The first occurrence of '10101' is found at the 5th position from the right. So, the output toggles from '0' to '1'.
  2. The next occurrence of '10101' is found at the 10th position from the right. So, the output toggles from '1' to '0'.
  3. The last occurrence of '10101' is found at the 15th position from the right. So, the output toggles from '0' to '1'.

So, the output sequence is '11111111100000011111110000001100000010000010000000111111100'.

Please note that the output sequence is the same length as the input sequence, with '1's where the sequence '10101' is found and '0's elsewhere.

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