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Which of the following is equivalent regular expressions?

  1. $((01)^*(10)^*)^*$
  2. $(10+01)^*$
  3. $(01)^*+(11)^*$
  4. $(0^*+(11)^*+0^*)^*)$
  1. (i) and (ii)
  2. (ii) and (iii)
  3. (iii) and (iv)
  4. (iv) and (i)
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2 Answers

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option A ,

because ((01)*(10)*)* is same as (a*b*)* ,where a=01 and b=10 .

(a*b*)* = (a+b)* that is (01+10)*.
Answer:

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