Check if a Number is Binary

Determine if a given string of integers bin represents a valid binary number. Return 'true' if the string represents a valid binary number, otherwise return 'false'. A binary number is strictly composed of the digits 0 and 1.

Input:

The first line contains an integer ‘T’ representing the number of test cases. Each of the next ‘T’ lines contains a single string ‘bin’.

Output:

For each test case, output a boolean: 'true' if the string is a valid binary number and 'false' otherwise. Each result should be printed on a separate line.

Example:

Input:

3
101
123
110110

Output:

true
false
true

Constraints:

• 1 <= T <= 50
• 1 <= length(bin) <= 10^4

Note:

No need to print anything; only implement the function to return the desired output.