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Decimal to Hex



This converter converts the given decimal number to hex.

Decimal to Hex

Decimal to hexadecimal (hex) conversion is the process of converting a decimal (base-10) number into its hexadecimal (base-16) representation.

In the decimal system, numbers are expressed using the digits 0 through 9, and in the hexadecimal system, numbers are represented using the digits 0 through 9 and the letters A to F, where A stands for 10, B for 11, C for 12, D for 13, E for 14, and F for 15.

Stesp to convert decimal to hexadecimal

Here are the steps to convert a decimal number to hexadecimal:

  1. Divide the decimal number by 16.
  2. Record the remainder (which can be any digit from 0 to 15).
  3. Divide the quotient obtained in step 1 by 16.
  4. Record the remainder again.
  5. Repeat steps 3 and 4 until the quotient becomes 0.
  6. The hexadecimal equivalent is the sequence of remainders read in reverse order.

Example

Let's take an example to illustrate the process. Suppose we want to convert the decimal number 255 to hexadecimal:

  1. 285 ÷ 16 = 17 (E in hexadecimal) with a remainder of 13 (D in hexadecimal).
  2. 17 ÷ 16 = 1 with a remainder of 1.
  3. 1 ÷ 16 = 0 with a remainder of 1.

Reading the remainders in reverse order gives us the hexadecimal equivalent: 11D.

Therefore, 285 in decimal is equal to 11D in hexadecimal.