# Decimal to HEX

You must enter a decimal value, such as 79, into the left box below and then click the Convert button to use this tool's decimal to hex converter. You can convert up to 19 decimal characters to hex (with a maximum value of 9223372036854775807).

## Decimal System

The decimal numeral system is the most widely used and accepted system in daily life. It bases itself on the number 10. (radix). Consequently, it has ten symbols: The digits 0 through 9, namely 0, 1, 2, 3, 4, 5, 6, 7, and 9.

Many ancient civilizations used the decimal numeral system, which is one of the earliest numeral systems that is now known. The Hindu-Arabic numeral system solved the problem of representing considerable numbers in the decimal system. The Hindu-Arabic numeral system assigns positions to the digits of a number. This system uses powers of base 10 to calculate numbers, and the digits are raised to the nth power according to their placements.

**Consider the decimal number 2345.67 as an example:**

The number 5 is in the place of ones (100 equals 1), and the number 4 is in the place of tens (101)

(102) 2 is in the position of thousands, and 3 is in the hundreds (103)

In the meantime, the digits 6 and 7 are in the tenths (1/10, which is 10-1) and the hundredths (1/100, which is 10-2) positions, respectively, after the decimal point.

Therefore, the following is another way to express the number 2345.67: (2 * 103) + (3 * 102) + (4 * 101) + (5 * 100) + (6 * 10-1) + (7 * 10-2)

## System of Hexadecimals (Hex System)

The basis of the hexadecimal system (abbreviated hex) is 16. (radix). It employs 16 symbols since it is a base-16 numeric system. The first six letters of the English alphabet are A, B, C, D, E, and F, and the first ten decimal numbers are 0 through 9 (0, 1, 2, 3, 5, 6, 7, and 8). The need to represent the numbers 10, 11, 12, 13, 14, and 15 in a single symbol necessitates the employment of the letters.

In mathematics and information technology, hex is employed to represent binary integers because it is more aesthetically pleasing. Hex is a binarily abridged language since each hex digit represents four binary digits.

A half-byte (also known as a nibble) consists of four binary digits. These can be more amiably represented in hex, where they range from 00 to FF. Accordingly, a single byte can store binary values between 0000 0000 and 1111 1111.

In HTML programming, colors are denoted by a 6-digit hexadecimal number. For example, white is denoted by FFFFFF, whereas black is denoted by 000000.

## How to Convert Decimal to Hex?

The repeated division and remainder procedure can convert decimal to hexadecimal values. Simply put, the radix 16 is used to divide the decimal value several times. The remainders show the hex equivalent in reverse order in between these divisions.

### Following are the steps for converting decimal to hex:

**Step 1:** The hex equivalent is the same whether the specified decimal number is less than 16. For instance, the hexadecimal equivalent of the number 15 is F. Remember that the numbers 10, 11, 12, 13, 14, and 15 are represented by the letters A, B, C, D, E, and F, respectively, convert.

**Step 2:** Divide the given decimal number by 16 if it is 16 or above.

**Step 3:** Write down the rest.

**Step 4:** is to divide your quotient's portion to the decimal point by 16. Note the remaining information.

**Step 5:** Continue to divide by 16 and record the remainders until the final decimal digit is less than 16.

**Step 6:** The quotient will be less than 0, and the remainder will be the final decimal digit if it is less than 16.

**Step 7:** In your hex value, the last remainder you get will be the most important number, whereas the first remainder from Step 3 will be the least essential digit. As a result, the hex value of the provided decimal number can be found by writing the remainders in reverse order, beginning at the bottom with the least significant digit and working your way up.

#### Example:

Convert 7562_{10} to hex:

Division by 16 |
Quotient (integer) |
Remainder (decimal) |
Remainder (hex) |
Digit # |
---|---|---|---|---|

7562/16 | 472 | 10 | A | 0 |

472/16 | 29 | 8 | 8 | 1 |

29/16 | 1 | 13 | D | 2 |

1/16 | 0 | 1 | 1 | 3 |

So 7562_{10} = 1D8A_{16}

## Decimal to hex conversion table

Decimal
base 10 |
Hex
base 16 |
---|---|

0 | 0 |

1 | 1 |

2 | 2 |

3 | 3 |

4 | 4 |

5 | 5 |

6 | 6 |

7 | 7 |

8 | 8 |

9 | 9 |

10 | A |

11 | B |

12 | C |

13 | D |

14 | E |

15 | F |

16 | 10 |

17 | 11 |

18 | 12 |

19 | 13 |

20 | 14 |

21 | 15 |

22 | 16 |

23 | 17 |

24 | 18 |

25 | 19 |

26 | 1A |

27 | 1B |

28 | 1C |

29 | 1D |

30 | 1E |

40 | 28 |

50 | 32 |

60 | 3C |

70 | 46 |

80 | 50 |

90 | 5A |

100 | 64 |

200 | C8 |

1000 | 3E8 |

2000 | 7D0 |