# Decimal to Binary

**Binary to Decimal***Different techniques can be used to convert from decimal to binary. Recursively dividing a given decimal value by two is one way to convert it from decimal to binary. ***The remainders are then recorded until the final quotient is equal to 0. Following this, these leftovers are written in reverse order to produce the provided decimal number's binary equivalent**. *The mathematical representation of numbers using a set of digits or symbols is known as a number system.* The decimal number system, the binary number system, the octal number system, and the hexadecimal number system are only a few examples of the various number systems. **These are recognised with the aid of the base they possess. From one base to another, converting numbers is simple.**

**Binary to Decimal Conversion**

When we translate a number from the decimal number system to the binary number system, we are converting it from decimal to binary. The total amount of digits employed in the number system determines the base, which is a property shared by all number systems.** For instance, the binary number system, which only employs two digits to express numbers**, **has a base of 2**. *Similar to this, the base of the decimal number system, which uses 10 digits to express numbers, is 10. Before we convert numbers from decimal to binary, let's first learn the decimal and binary number systems.*