The binary string 00100100 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 00100100, regardless of their numerical value.

This question is incomplete, the complete question is;

The binary string 00100100 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 00100100, regardless of their numerical value.

a) Is the given string a palindromes ?

b) Is the given string a perfect cube?

c) Is the given string greater than 50?

d) Is the given string even?

e) is the given string a perfect square?

a) the given binary string is a palindromes

b) the given string is NOT a perfect cube

c) the given string is NOT greater than 50?

d) the given string is an even

e) the given string a perfect square

Explanation:

Given that;

binary string : 00100100

a)

Is the given string a palindromes ?

the given binary string = 00100100

now when you reverse the string, its still going to be : 00100100

so the given binary string is a palindromes

b)

Is the given string a perfect cube

the given string : 00100100 = 36

now 2^3 = 8,

3^3 = 27,

4^3 = 64

so 36 is not a perfect cubic

hence the given string is NOT a perfect cube

c)

Is the given string greater than 50?

the given string : 00100100 = 36

and 36 < 50

so the given string is NOT greater than 50?

d)

Is the given string even?

the given string  : 00100100 = 36

and 36 can be divided exactly by 2

so the given string is an even

e)

is the given string a perfect square?

the given string  : 00100100 = 36

now 6^2 = 36  i.e 6 multiply by 6 = 36

therefore the given string a perfect square

the answer is c