What is Decimal?

Decimal is a number system that uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It is also known as base 10 numbering system since it is based on 10 following symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

What is Binary?

Binary is a number system that uses two digits: 0 and 1. It is also known as base 2 numbering system since it is based on 2 following symbols: 0 and 1.

How to convert Decimal to Binary?

To convert Decimal to Binary, we need to divide the Decimal value by 2 until the quotient is 0. Then, we need to combine all the remainders together to get the final Binary value.

Example

Let's convert the Decimal value 10 to Binary.

First, we need to divide the Decimal value by 2 until the quotient is 0.

Decimal Value	Quotient	Remainder
10	5	0
5	2	1
2	1	0
1	0	1

Now, we need to combine all the remainders together to get the final Binary value. In this case, the final Binary value is 1010. This is the Binary representation of the Decimal value 10.