Binary to Decimal Conversion »

## How to convert decimal to binary

#### Conversion steps:

- Divide the number by 2.
- Get the integer quotient for the next iteration.
- Get the remainder for the binary digit.
- Repeat the steps until the quotient is equal to 0.

#### Example #1

Convert 13_{10} to binary:

Division by 2 |
Quotient | Remainder | Bit # |
---|---|---|---|

13/2 | 6 | 1 | 0 |

6/2 | 3 | 0 | 1 |

3/2 | 1 | 1 | 2 |

1/2 | 0 | 1 | 3 |

So 13_{10} = 1101_{2}

#### Example #2

Convert 174_{10} to binary:

Division by 2 |
Quotient | Remainder | Bit # |
---|---|---|---|

174/2 | 87 | 0 | 0 |

87/2 | 43 | 1 | 1 |

43/2 | 21 | 1 | 2 |

21/2 | 10 | 1 | 3 |

10/2 | 5 | 0 | 4 |

5/2 | 2 | 1 | 5 |

2/2 | 1 | 0 | 6 |

1/2 | 0 | 1 | 7 |

So 174_{10} = 10101110_{2}

## Decimal to binary conversion table

Decimal Number |
Binary Number |
Hex Number |
---|---|---|

0 | 0 | 0 |

1 | 1 | 1 |

2 | 10 | 2 |

3 | 11 | 3 |

4 | 100 | 4 |

5 | 101 | 5 |

6 | 110 | 6 |

7 | 111 | 7 |

8 | 1000 | 8 |

9 | 1001 | 9 |

10 | 1010 | A |

11 | 1011 | B |

12 | 1100 | C |

13 | 1101 | D |

14 | 1110 | E |

15 | 1111 | F |

16 | 10000 | 10 |

17 | 10001 | 11 |

18 | 10010 | 12 |

19 | 10011 | 13 |

20 | 10100 | 14 |

21 | 10101 | 15 |

22 | 10110 | 16 |

23 | 10111 | 17 |

24 | 11000 | 18 |

25 | 11001 | 19 |

26 | 11010 | 1A |

27 | 11011 | 1B |

28 | 11100 | 1C |

29 | 11101 | 1D |

30 | 11110 | 1E |

31 | 11111 | 1F |

32 | 100000 | 20 |

64 | 1000000 | 40 |

128 | 10000000 | 80 |

256 | 100000000 | 100 |

Currently, we have around 1975 calculators, conversion tables and usefull online tools and software features for students, teaching and teachers, designers and simply for everyone.

You can find at this page financial calculators, mortgage calculators, calculators for loans, calculators for auto loan and lease calculators, interest calculators, payment calculators, retirement calculators, amortization calculators, investment calculators, inflation calculators, finance calculators, income tax calculators, compound interest calculators, salary calculator, interest rate calculator, sales tax calculator, fitness & health calculators, bmi calculator, calorie calculators, body fat calculator, bmr calculator, ideal weight calculator, pace calculator, pregnancy calculator, pregnancy conception calculator, due date calculator, math calculators, scientific calculator, fraction calculator, percentage calculators, random number generator, triangle calculator, standard deviation calculator, other calculators, age calculator, date calculator, time calculator, hours calculator, gpa calculator, grade calculator, concrete calculator, subnet calculator, password generator conversion calculator and many other tools and for text editing and formating, downloading videos from Facebok (we built one of the most famous Facebook video downloader online tools). We also provide you online downloanders for YouTube, Linkedin, Instagram, Twitter, Snapchat, TikTok and other social media sites (please note we does not host any videos on its servers. All videos that you download are downloaded from Facebook's, YouTube's, Linkedin's, Instagram's, Twitter's, Snapchat's, TikTok's CDNs. We also specialise on keyboard shortcuts, ALT codes for Mac, Windows and Linux and other usefull hints and tools (how to write emoji online etc.)

There are many very usefull online free tools and we would be happy if you share our page to others or send us any suggestions for other tools which will come on your mind. Also in case you find any of our tools that it does not work properly or need a better translation - please let us know. Our tools will make your life easier or simply help you to do your work or duties faster and in more effective way.

These below are the most commonly used by many users all over the world.

- Free online calculators and tools
- Free online units conversion tools
- Free online web design tools
- Free online electricity & electronics tools
- Mathematics
- Online Tools
- Text Tools
- PDF Tools
- Code
- Ecology
- Others
- Free online energy conversion tools
- Free online length conversion tools
- Free online number conversion tools
- Free online power conversion tools
- Free online temperature conversion tools
- Free online weight conversion tools
- Free online voltage conversion tools
- Free online frequency conversion tools
- Free online color conversion tools
- Free online image conversion tools
- Free online electrical calculation
- Electrical charge conversions
- ASCII text to binary free online converter
- ASCII text to Hex code free online converter
- ASCII, Hex, Binary, Decimal, Base64 free online converter
- Base free online converter
- Binary free online converter
- Binary to ASCII text free online converter
- Binary to decimal free online converter
- Binary to Hex free online converter
- Binary to string converter
- Date to Roman numerals free online converter
- Decimal to binary free online converter
- Decimal to fraction free online converter
- Decimal to Hex free online converter
- Decimal to octal free online converter
- Decimal to percent free online converter
- Degrees to Degrees, Minutes, Seconds free online converter
- Degrees to radians free online converter
- Degrees, Minutes, Seconds to Degrees free online converter
- Fraction to decimal free online converter
- Fraction to percent free online converter
- Hex / Decimal / Octal / Binary free online converter
- Hex to ASCII text free online converter
- Hex to binary free online converter
- Hex to decimal free online converter
- How to convert binary to decimal
- How to convert binary to hex
- How to convert decimal to binary
- How to convert decimal to fraction
- How to convert decimal to hex
- How to convert degrees to radians
- How to convert fraction to decimal
- How to convert hex to binary
- How to convert hex to decimal
- How to convert number to roman numerals
- How to convert percent to ppm
- How to convert ppm to percent
- How to convert radians to degrees
- How to convert roman numerals to number
- Octal to decimal free online converter
- Percent to decimal free online converter
- Percent to fraction free online converter
- Percent to ppm free online converter
- ppb to ppm free online converter
- ppm free online converter
- ppm to percent free online converter
- ppm to ppb free online converter
- ppm to ppt free online converter
- ppt to ppm free online converter
- Radians to degrees free online converter
- Roman numerals free online converter
- Scientific notation free online converter
- String to binary converter

And we are still developing more. Our goal is to become the one-stop, go-to site for people who need to make quick calculations or who need to find quick answer for basic conversions.

Additionally, we believe the internet should be a source of free information. Therefore, all of our tools and services are completely free, with no registration required. We coded and developed each calculator individually and put each one through strict, comprehensive testing. However, please inform us if you notice even the slightest error – your input is extremely valuable to us. While most calculators on Justfreetools.com are designed to be universally applicable for worldwide usage, some are for specific countries only.