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Answer :
To design a 7-bit sequence detector that can detect the binary equivalent of the last two digits of the number 111916035, which is 0100101, you can use a shift register and a combination of logic gates.
Start by creating a 7-bit shift register. This register will store the last 7 bits of the input sequence. Connect the input sequence to the shift register. Each time a new bit is inputted, the shift register will shift the existing bits one position to the right and store the new bit in the leftmost position. Create the logic gates to detect the desired sequence, which is 0100101. You can use AND gates to compare the output of the shift register with the binary equivalent of the desired sequence.
The output of the AND gates will be high (logic level 1) when the shift register matches the desired sequence. You can connect these outputs to an additional logic gate, such as an OR gate, to determine if the sequence has been detected. The output of the OR gate will be high when the desired sequence is detected. This output can be used as an indication or trigger for further actions or processing.
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