To use this simplest **Decimal to Binary converter** tool, you just have to type a decimal integer.

For example, enter 308 into the Decimal number field above, and then hit the Convert button. This way you can convert up to 19 decimal characters (max. value of 9223372036854775807) to binary value.

Use **RESET **button to clear the calculator.

**SWAP **button will help you to switch between Decimal to Binary and Binary to Decimal.

**Conversion steps:**

1. Divide the number by 2.

2. Get Integer quotient for the next iteration.

3. Get remainder for the binary digit.

4. Repeat these steps until the quotient as 0.

Decimal number system also known as Base 10 *numbering *system because it is based on 10 ranging symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. In decimal system, every digit holds its own position along with the decimal point. i.e. the number 326.34 has 4 in the Hundredths position, 3 in the Tenths position, 6 in the Units position, 2 in the Tens position, and 3 in the Hundreds position.

*Decimal number system *is also one of the ancient numeral system, whose roots are in Hindu-Arabic numeral system.

Binary is the simplest type of number system that makes use of only two numbers 1 and 0. By using these numbers, arithmetical problems can be solved by machines because in digital instruments, a transistor is used in two states. Those two states can be represented by 0 (False) and 1 (True). That’s why this number system is the most chosen in modern computer engineering, networking and communication technologies by specialists, and other professionals.

Decimal number | Binary number | Binary signed 2’s complement | Hex number |

0.0001 | 1.101E-14 | N/A | 0.00068DB8BAC710CB295F |

0.001 | 1E-10 | N/A | 0.004189374BC6A7EF9DB2 |

0.01 | 1.01E-07 | N/A | 0.028F5C28F5C28F5C28F6 |

0.1 | 0.000110011 | N/A | 0.1999999999999999999A |

1 | 1 | 1 | 1 |

2 | 10 | 10 | 2 |

3 | 11 | 11 | 3 |

4 | 100 | 100 | 4 |

5 | 101 | 101 | 5 |

10 | 1010 | 1010 | A |

100 | 1100100 | 1100100 | 64 |

1000 | 1111101000 | 1111101000 | 3.00E+08 |

10000 | 1.00111E+13 | 1.00111E+13 | 2710 |