Decimal:

## How to use Binary to Decimal Converter?

Binary number are represented by 0 and 1 only. To use the binary to decimal converter you have to put first your input in binary form in the **Enter Binary Number area**. After that click on the convert button. Thats all! you will get the decimal output from your input binary number.

## More Concepts for your Understanding

### What is Binary?

A binary number is a number expressed in the base-2 numeral system, which uses only two digits: 0 and 1. This is in contrast to the decimal (base-10) system that we commonly use in everyday life, which has ten digits (0 through 9).

### Maths on converting binary number to decimal number

In the binary system, each digit is referred to as a “bit” (a contraction of binary digit). The position of each bit in a binary number represents a power of 2. Starting from the rightmost bit, each bit’s position represents a successive power of 2, with the rightmost bit representing $_{0}$, the next bit to the left representing $_{1}$, the next $_{2}$, and so on.

For example, the binary number `1101`

can be interpreted as follows:

**$1×_{3}+1×_{2}+0×_{1}+1×_{0}$**

Simplifying, this is equivalent to.

**$8+4+0+1=13$**

So, in decimal, the binary number `1101`

is equal to 13.

Binary is fundamental in computer science and digital electronics because digital systems use binary digits to represent and process information. Computers, for instance, use binary code to represent data and perform calculations. Each binary digit (bit) can represent a state of “on” or “off,” “true” or “false,” or the presence or absence of an electrical charge, making it suitable for digital information representation.