# C++ Program to convert Decimal to Binary

We can convert any decimal number (base-10 (0 to 9)) into binary number (base-2 (0 or 1)) by C++ program.

## Decimal Number

Decimal number is a base 10 number because it ranges from 0 to 9, there are total 10 digits between 0 to 9. Any combination of digits is decimal number such as 223, 585, 192, 0, 7 etc.

## Binary Number

Binary number is a base 2 number because it is either 0 or 1. Any combination of 0 and 1 is binary number such as 1001, 101, 11111, 101010 etc.

Let's see the some binary numbers for the decimal number.

Decimal Binary
1 0
2 10
3 11
4 100
5 101
6 110
7 111
8 1000
9 1001
10 1010

## Decimal to Binary Conversion Algorithm

Step 1: Divide the number by 2 through % (modulus operator) and store the remainder in array

Step 2: Divide the number by 2 through / (division operator)

Step 3: Repeat the step 2 until the number is greater than zero

Let's see the C++ example to convert decimal to binary.

Output:

```Enter the number to convert: 9
Binary of the given number= 1001
```