Decimal to Hexadecimal

The Decimal to Hexadecimal Converter is a straightforward online tool that effortlessly converts decimal numbers into their hexadecimal equivalents. This intuitive calculator is designed to handle both whole numbers and decimal fractions, ensuring precision and accuracy for a wide range of applications.

Decimal to hexadecimal conversion involves transforming a decimal (base-10) number into its hexadecimal (base-16) representation. In the hexadecimal system, digits can range from 0 to 9 and from A to F, where A represents 10, B represents 11, and so on, up to F represents 15.

Decimal to Hexadecimal Converter

Decimal:
base₁₀

Decimal Places
#

Results:

Hexadecimal Output
base₁₆

Calculator

enter the decimal number you want to convert. The number can be positive or negative and can include fractional parts.
the number of decimal places you wish for the hexadecimal result

Result

the hexadecimal equivalent of your decimal number

Here's how the conversion works:

Integer Part Conversion:

Divide the decimal number by 16.
Record the remainder, which represents the least significant hexadecimal digit (LSH).
Repeat the division process with the quotient until it becomes zero.
The hexadecimal equivalent is obtained by reading the remainders in reverse order and replacing any remainder greater than 9 with the corresponding hexadecimal letter (A for 10, B for 11, and so on).

Fractional Part Conversion (if applicable):

Multiply the fractional part by 16
Record the integer part of the result, which represents the next digit after the decimal point
Repeat the multiplication process with the fractional part until it becomes zero or until the desired precision is reached.

Example Conversion:

Convert the decimal number 1234.875 to hexadecimal.

Integer Part Conversion:

Dividing 1234 by 16, we get quotient 77 and remainder 2
Dividing 77 by 16, we get quotient 4 and remainder 13 (equivalent to D in hexadecimal)
Dividing 4 by 16, we get the quotient 0 and the remainder 4

Reading the remainders in reverse order: 4D2.

Fractional Part Conversion:

Multiplying 0.875 by 16, we get 14 (equivalent to E in hexadecimal)
There is no fractional part left after the first multiplication (14 - 14 = 0)

The hexadecimal equivalent of the fractional part 0.875 is E.

Hexadecimal Equivalent:

Combining the integer and fractional parts, we get:

Integer part: 4D2
Fractional part: .E
Hexadecimal equivalent: 4D2.E

The decimal number 1234.875 is equivalent to 4D2.E in hexadecimal notation.

Decimal to Hexadecimal