**Binary to Decimal Converter **is a simple online tool that converts binary input to decimal output, to use this online tool type binary input value in the first text box that translates decimal output and displayed into the second text box.

## Binary Numbers

**Binary Number system **is the simplest kind of number system that uses only two digits of 0 and 1, the binary number system is the most fundamental number system in all digital and computer based systems.

In digital electronics a transistor is used in two states. Those two states can be represented by 0 and 1. binary numbers follow the same set of rules as the decimal numbers. But unlike the decimal system which uses base of ten, the binary number system works on base of two giving a binary to decimal conversion from base2 to base10.

For Example we can represent the binary numbers in the form of base2 as follows.

**(101001010)2**

## Decimal Numbers

**Decimal Number system** is the most commonly used and the most familiar one to the general public. It is also known as base10 numbering system since it is based on 10 following symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

In decimal system, every digit has its own position as well as the decimal point. For example the number 728.95 has 5 in the Hundredths position, 9 in the Tenths position, 8 in the Units position, 2 in the Tens position, and 7 in the Hundreds position.

Decimal number system is also one of the oldest well known numeral system, which is historically related to Hindu-Arabic numeral system.

### Binary to decimal conversion examples

Here we have listed out some example of binary to decimal conversion list.

- (10011)2 = (19)10
- (110101)2 = (53)10
- (10001011)2 = (139)10

## Binary to Decimal Conversion Chart Table

It is an simple **binary to decimal conversion chart table**, which represents the basic binary to decimal conversion upto 0 to 15 values.

Binary | Decimal |
---|---|

0000 | 0 |

0001 | 1 |

0010 | 2 |

0011 | 3 |

0100 | 4 |

0101 | 5 |

0110 | 6 |

0111 | 7 |

1000 | 8 |

1001 | 9 |

1010 | 10 |

1011 | 11 |

1100 | 12 |

1101 | 13 |

1110 | 14 |

1111 | 15 |

Binary to Decimal Converter, Please refer more about binary number system here.

## how to convert binary to decimal

Here we will learn about how to convert binary to decimal by using the below steps.

1. Write down the binary number from left to right, for example we want to convert (100101)2 to decimal value. then evaluate the number by 2_{0,} 2_{1 … }etc… from_{ }left to right as mentioned in the below.

Here for converting (100101)2 this binary value content six elements, hence which would like this: 2_{0} = 1, 2_{1} = 2, 2_{2} = 4, 2_{3} = 8, 2_{4} = 16, 2_{5} = 32

2. Next, want to element the binary 0 represents values, which means in our case 2, 4, 5 values will be eliminated like mentioned in the below image.

3. Next add the values which represents decimal for binary 1,

1 + 4 + 32 = 37

4. The Binary represent for (100101)2 = 37

I hope this binary to decimal converter tutorial is useful to understand how to convert binary to decimal number by simple way, still if you have clarification please let us know.