The binary string 1001001 is a member of which of the following problems? Rememb

Question

The binary string 1001001 is a member of which of the following problems? Remember, a "problem" is a language whose strings represent the cases of a problem that have the answer "yes." In this question, you should assume that all languages are sets of binary strings interpreted as base-2 integers. The exception is the problem of finding palindromes, which are strings that are identical when reversed, like 0110110, regardless of their numerical value. a) Is the given string a palindrome? b) Is the given string a perfect cube? c) Is the given string a perfect square? d) Is the given string less than or equal to 50? The binary string 1001001 is a member of which of the following problems? Remember, a "problem" is a language whose strings represent the cases of a problem that have the answer "yes." In this question, you should assume that all languages are sets of binary strings interpreted as base-2 integers. The exception is the problem of finding palindromes, which are strings that are identical when reversed, like 0110110, regardless of their numerical value.

Explanation / Answer

a.) Yes, the string is palindrome because whenthe string is reversed it is producing the same number.

b.) No, the string is not a perfect cube because the decimal obtained is 73 and it is not a perfect cube

c.) No, the string is not a perfect square because the decimal obtained is 73 and it is not a perfect square.

d.) No, the given string is not less than or equal to 50 as 73 is larger than the number 50.

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