Convert all numbers in range [L, R] to binary number

Given two positive integer numbers L and R. The task is to convert all the numbers from L to R to binary number. 

Examples:

Input: L = 1, R = 4
Output: 
1
10
11
100
Explanation: The binary representation of the numbers 1, 2, 3 and 4 are: 
1 = (1)₂
2 = (10)₂
3 = (11)₂
4 = (100)₂

Input: L = 2, R = 8
Output:
10
11
100
101
110
111
1000

Approach: The problem can be solved using following approach.

• Traverse from L to R and convert every number to binary number.
• Store each number and print it at the end.

Below is the implementation of the above approach.

10
11
100
101
110
111
1000

Time Complexity: O(N * LogR) Where N is the count of numbers in range [L, R]
Auxiliary Space: O(N * logR)