Decimal to Hexadecimal

Decimal to Hexadecimal Converter

A Decimal to Hexadecimal converter is a free online tool that converts a number from its decimal (base-10) representation to its hexadecimal (base-16) representation. Decimal is the numbering system most commonly used by humans, with 10 digits (0 through 9), while hexadecimal is a numbering system with 16 digits (0-9 followed by A-F), frequently used in computing and programming because it can represent binary data more compactly.

Here's how you can manually convert a decimal number to hexadecimal:

  • Divide the decimal number by 16.
  • Write down the remainder (if any) as the least significant digit of the hexadecimal number.
  • Take the quotient from step 1 and repeat steps 1 and 2 until the quotient becomes 0.
  • Write down all the remainders obtained in step 2 in reverse order. These will be the hexadecimal digits.

For example, let's convert the decimal number 255 to hexadecimal:

  • 255 divided by 16 equals 15 with a remainder of 15. So, we write down "F" as the least significant digit.
  • Now, divide 15 by 16, which results in 0 with a remainder of 15. We write down "F" again.
  • Since the quotient is now 0, we stop.
  • Write down the remainders obtained in reverse order: "FF."

So, the decimal number 255 is equal to "FF" in hexadecimal.

You can also use programming languages to perform decimal to hexadecimal conversions automatically. Most programming languages provide built-in functions or methods to make such conversions, which can be very convenient for more complex or large decimal numbers.

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