# Count Total Set Bits - InterviewBit Solution

**Problem**: __Count Total Set Bits__

**Problem Description:**

Given a positive integer **A**, the task is to count the total number of set bits in the binary representation of all the numbers from **1** to **A**
Return the count modulo **109 + 7**.

**Problem Constraints**

`1 <= A <= 109`

**Input Format**

The first and only argument is an integer **A**.

**Output Format**

Return an integer denoting the ( Total number of set bits in the binary representation of all the numbers from **1** to **A** )modulo **109 + 7**.

**Example Input**

```
Input 1:
A = 3
Input 2:
A = 1
```

**Example Output**

```
Output 1:
4
Output 2:
1
```

**Example Explanation**

**Explanation 1:**

```
DECIMAL BINARY SET BIT COUNT
1 01 1
2 10 1
3 11 2
1 + 1 + 2 = 4
Answer = 4 % 1000000007 = 4
```

**Explanation 2:**

```
A = 1
DECIMAL BINARY SET BIT COUNT
1 01 1
Answer = 1 % 1000000007 = 1
```

### Solution Approach:

### Solution in C++:

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