Decimal to Hex

The decimal to hex converter is an online tool to convert decimal to decimal to hexadecimal numbers. It eliminates the need to use conversion tables by offering the int to hex conversion on one click. This decimal to hexadecimal converter can be used to convert string to hex too. In this post, we will discuss the hexadecimal conversion, how to use decimal to hexadecimal converter, and examples of dec to hex conversion.

How to use decimal to hex converter?

Decimal to hex converter is very easy to use because its interface is designed to keep things simple. You don't need to put your efforts into conversions when you can convert by using an online tool like this. You can also use our hex to decimal converter if you want the conversion in a reverse manner.

To convert to hexadecimal using the above converter, follow the below steps:

• Enter your decimal number in the given input box.
• Toggle the Digital grouping button to No or Yes as per your needs.
• Press the Calculate button to see the results.

It will produce the most accurate results based on the given input. You will get the decimal number converted to a hex number, binary number, and binary signed 2's compliment as well.

How to convert decimal to hexadecimal?

Decimal to hexadecimal conversion can be accomplished by the remainder algorithm and repeated division. Simply put, the decimal number is divided by radix 16 again and again. In between, the remaining divisions give the reverse order of the hex equivalent.

Follow these steps to convert decimal or number to hex:

1. The hex counterpart is the same if the decimal number given is less than 16. The numbers 10, 11, 12, 13, 14, and 15 are represented by A, B, C, D, E, and F. The decimal number 10, for instance, will be A in hex.
2. Divide the number by 16 if the given decimal number is 16 or higher.
3. After division, get the remainder.
4. Divide the quotient by 16 again occurring before the decimal point. Again, you will get the remainder.
5. Keep dividing by 16 until the last digit with which you are left is less than 16.
6. The remainder will be the digit itself and the quotient will be less than 0 when the last decimal point is less than 16.
7. The first remainder from Step 3 is the least significant digit, while the last remainder you get will be the most significant digit of your hex value. There will, therefore, a hex value of the given decimal number, as you write the remained in the reverse order, starting with the bottom and going upward.

Example of converting decimal to hex:

Let's understand the concept of hexadecimal conversion by using an example.

Convert (501)₁₀ to hexadecimal

Step 1: Divide 501 by 16 because it is greater than 16.

\(\dfrac{501}{16} = 31.3125\)

Step 2: Multiply the number occurring after the decimal point by 16 to calculate the remainder.

\(0.3125 \times 16 = 5\)

The first and least important number in hex is therefore 5.

Step 3: Divide 31 by 16 because 31 lies before the decimal point and is part of the quotient.

\(\dfrac{31}{16}= 1.9375\)

Step 4: Calculate the remainder.

\(0.9375 \times 16 = 15\)

Step 5: Divide the part of the quotient occurring after decimal point by 16.

\(\dfrac{1}{16} = 0.0625\)

Step 6: Calculate the remainder.

\(0.0625 \times 16 = 1\)

Step 7: Write the remainders from bottom to top to get the hex values. Here the hex values will be 1, 15, and 5.

Note 15 = F in the hex number system, so,

\((501)_{10} = (1F5)_{16}\)

Decimal to Hexadecimal table

Below you can find decimal to the hexadecimal conversion table.