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You have a regular expression: (01 + 10)*. Which of the following strings is in the language defined by this regular expression?2 points"11001""1110""0011""100110"

Question

You have a regular expression: (01 + 10)*. Which of the following strings is in the language defined by this regular expression?2 points"11001""1110""0011""100110"

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Solution

The regular expression (01 + 10)* defines a language that includes strings composed of alternating '01' and '10' sequences. The asterisk (*) means that these sequences can repeat any number of times, including zero times.

Let's check each string:

  1. "11001": This string does not match the pattern because '110' is not a part of the language defined by the regular expression.

  2. "1110": This string does not match the pattern because '111' is not a part of the language defined by the regular expression.

  3. "0011": This string does not match the pattern because '00' and '11' are not part of the language defined by the regular expression.

  4. "100110": This string matches the pattern. It can be broken down into '10', '01', '10' which are part of the language defined by the regular expression.

So, the string "100110" is in the language defined by the regular expression (01 + 10)*.

This problem has been solved

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