# Decimal to Binary Converter

To use this **decimal to binary converter** tool, you should type a decimal value like 308 into the left field below,
and then hit the Convert button.
This way you can convert up to 19 *decimal* characters (max. value of 9223372036854775807) to *binary* value.

### Decimal to binary conversion result in base numbers

## Decimal System

**Decimal** number system is the most commonly used and the most familiar one to the general public.
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.
In decimal system, every digit has its own position as well as the decimal point.
I.e. the number 356.74 has 4 in the Hundredths position, 7 in the Tenths position,
6 in the Units position, 5 in the Tens position, and 3 in the Hundreds position.
*Decimal number system* is also one of the oldest known numeral system,
which is historically related to Hindu-Arabic numeral system.

## Binary System

**Binary** is the simplest kind of number system that uses only two digits of 0 and 1.
By using these digits computational problems can be solved by machines because in
digital electronics a transistor is used in two states.
Those two states can be represented by 0 and 1.
That is why this number system is the most preferred in modern computer engineer,
networking and communication specialists, and other professionals.

#### Decimal to binary conversion examples

- (51)
_{10}= (110011)_{2} - (217)
_{10}= (11011001)_{2} - (8023)
_{10}= (1111101010111)_{2}

Related converters: Binary To Decimal Converter

#### Decimal Binary Conversion Chart Table

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

0 | 0000 |

1 | 0001 |

2 | 0010 |

3 | 0011 |

4 | 0100 |

5 | 0101 |

6 | 0110 |

7 | 0111 |

8 | 1000 |

9 | 1001 |

10 | 1010 |

11 | 1011 |

12 | 1100 |

13 | 1101 |

14 | 1110 |

15 | 1111 |