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Table of Contents

**Decimal to binary ****converter** is a tool that converts decimal to binary numbers with one click. It is used for decimal to binary conversion. Decimal to binary calculator makes it easy for students and other binary number users to simply convert decimal digits into binary without manual calculations.

The binary system is a numerical system that works virtually the same as the decimal number system with which people are probably more familiar. While the decimal number system is based on the number 10, the binary system use 2. Furthermore, while the decimal system uses digits 0 through 9, the binary system uses only 0 and 1, and each digit is called a bit. In addition to these differences, operations like addition, subtraction, multiplication, and division are all calculated according to the same rules as the decimal system.

Because of its ease of implementation in digital circuitry using logic gates, nearly all modern technology and computers use the binary system. Designing hardware that needs only to detect two states, on and off (or true / false, present / absence, etc.) is much simpler. Using a decimal system would require hardware that is more complicated and capable of detecting 10 states for digits 0 to 9. Apart from using decimal to binary converter, you can do conversion with a manual method. Of course that’s a complex method but not too complicated to learn.

*Below are some typical conversions between binary and decimal values:*

While working with binary may initially seem confusing however, it should be helpful to understand that each binary place value represents 2^{n}, just as each decimal place represents 10^{n}.

Take, for example, number 8. The digit 8 is positioned at the first decimal place left of the decimal point in the decimal number system, meaning the 100 place. In essence, this means:

8 × 10

^{0}= 8 × 1 = 8

*Using the number 18 for comparison:*

(1 × 10

^{1}) + (8 × 10^{0}) = 10 + 8 = 18

In binary, the figure of 8 is 1000. Reading from right to left, the first 0 is 2^{0}, the second 2^{1}, the third 2^{2}, and the fourth 2^{3}; just like the decimal system, except with a base of 2 instead of 10. A, 1 is entered in its position that yields 1000 since 2^{3}= 8. Use as an example 18 or 10010:

18 = 16 + 2 = 2

^{4}+ 2^{1}

10010 = (1 × 2

^{4}) + (0 × 2^{3}) + (0 × 2^{2}) + (1 × 2^{1}) + (0 × 2^{0}) = 18

*The step by step process to convert from base 10 to binary system is:*

- Find the largest power of two (2) within the number given
- Subtract this value from the number given
- Find the largest power of 2 in step 2 within the remainder
- Repeat until no remainder left
- Enter a value of 1 for each binary place found and a value of 0 for the rest.

We know it would be quite hard for you to use this method when you have the simplest solution of converting number to binary problem and that is our converter.

Converting decimal to binary was never easy before integer to binary calculator. However, it is easier to convert from the decimal to binary system if you know all the rules and do it carefully. But if you can’t convert dec to binary manually, you do not need to worry as we got you covered with our advanced conversion tools like binary to decimal converter, Binary Translator, and text to binary converter.

All these conversion tools are quick, reliable and problem-solving. Don’t believe us? Try yourself!

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

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 |

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