Convert the same number between its representations in different number systems. Our multipurpose converter calculator allows users to convert given input number into Hex decimal, Decimal, Octal and Binary number systems in single calculator.

This is the quick and easiest way to learn and calculate conversion of different number systems on a comparison basis.

*How to use Hex, Decimal, Octal, Binary Converter?*

Select the format of number representation. Now, simply enter the integer in the input box that you want to convert randomly. You will get the result in no time.

*Decimal System*

The Decimal number system is 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 the 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 tenth position, 6 in the units position, 2 in the tens position, and 3 in the hundreds position.

The Decimal Number System is also one of the ancient numeral system, whose roots are in the Hindu-Arabic numeral system.

*Binary System*

**Binary **is the simplest type of number system that makes a use of only two numbers of 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.

*Hex System*

**Hex or hexadecimal** is a number system with base 16. This number system is especially interesting because in decimal number system we have only 10 digits to present the numbers. As the hex system has 16 digits, the first 6 letters of English alphabet used to represent extra 6 digits. So, hex digits are 0,1,2,3,4,5,6,7,8 and 9 A, B, C, D, E, F.

**Octal System**

It is the number system whose **base is 8**, known as the **Octal Number System**. The **base 8** represents the **eight digit** ranges from 0 to 7 basically used for octal system. All the eight digits from 0 to 7 have same physical position as that of decimal numbers. The next digit in octal number is represented by 10, 11, 12, 13, 14, 15, 16, and 17 which represents the decimal digits 8, 9, 10, 11, 12, 13, 14, 15. In this way, the octal number 20 represents the decimal number 16 and subsequently 21, 22, 23….octal numbers will show the decimal digits 17, 18, 19…etc. and so on.

Hex | Dec | Octal | Binary |

1 | 1 | 1 | 1 |

2 | 2 | 2 | 10 |

3 | 3 | 3 | 11 |

4 | 4 | 4 | 100 |

5 | 5 | 5 | 101 |

6 | 6 | 6 | 110 |

7 | 7 | 7 | 111 |

8 | 8 | 10 | 1000 |

9 | 9 | 11 | 1001 |

10 | 16 | 20 | 10000 |

99 | 153 | 231 | 10011001 |

100 | 256 | 400 | 100000000 |

999 | 2457 | 4631 | 100110011001 |

A | 10 | 12 | 1010 |

B | 11 | 13 | 1011 |

C | 12 | 14 | 1100 |

D | 13 | 15 | 1101 |

E | 14 | 16 | 1110 |

F | 15 | 17 | 1111 |