Enter Value:

Result

Our decimal to binary converter is an online tool that converts base-10 numbers to the base-2 number system in seconds.

A base-10 numeral system having digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 is said to be a decimal number system. All the numbers obtained by combining 0-9 numeric digitals are decimals. There is no need to write the base of decimal numbers, as if any number is given without any base, it would be considered a decimal number.

This numbering system is also called the **Hindu-Arabic** or **Arabic number system. **

A base-2 numeral system having digits 0 and 1 is said to be a binary number system. All the numbers obtained by combining 0 and 1 numeric digitals are binary numbers, i.e., (11101)2. The first digit of a binary number is said to be the MSB, while the last digit of a binary number is said to be LSB.

Where,

- MSB = Most Significant Bit
- LSB = Least Significant Bit

Our decimal to binary converter is a time-saving way to convert any decimal number to a binary number. Below are a few steps to follow for the manual conversion of decimal to binary.

- First of all, divide the given binary number by 2.
- Write down the quotient and its remainder. There would be two cases:
- If the given decimal number is even, it will be completely divisible by “2,” and the remainder will be 0.
- If the given decimal number is odd, it will not be completely divisible by “2,” and there will be a remainder “1”.
- To get the required binary number, arrange all the reminders from bottom to top in such a way that the last remainder is the first digit and the first remainder is the last bit.

Let us consider an example to explain the above process.

**Example**

Convert 394_{10} to a binary number.

**Solution:**

Divide the given decimal by 2 |
Outcome |
Remainder |

394/2 | 197 | 0 (Last bit) |

197/2 | 98 | 1 |

98/2 | 49 | 0 |

49/2 | 24 | 1 |

24/2 | 12 | 0 |

12/2 | 6 | 0 |

6/2 | 3 | 0 |

3/2 | 1 | 1 |

1/2 | 0 | 1 (First bit) |

Hence,

394_{10} = (110001010)_{2}

You can also use our binary to decimal converter to convert any binary number to a decimal number system.