Hex to Binary

What Is the Hex to Binary Converter

This hex to binary conversion tool allows you to immediately convert hex (hexadecimal) numbers into binary numbers. Binary is a format that stores all information in ones and zeroes, not numbers and letters like hex or decimal formats. This tool works rapidly, and requires no specialized knowledge or expertise to use.

How to Use the Hex to Binary Converter

1. Add your hex number to the box titled "Hex" that sits on the left side of your screen.
2. Press the "Convert Hex to Binary" button to begin converting.
3. Within a second or so, the tool shows the binary number in the box titled "Binary" on the right side of the screen.
4. From there, either copy or download the binary number using the buttons above the "Binary" box.
5. To run another conversion, it's as easy as clicking the Eraser icon above the "Hex" box, and going through the steps again.
6. If you also need to convert binary to hex, simply click on the "Go to Binary to Hex Converter" button.

How to Convert Hex to Binary Manually

If you want to understand what goes on behind the scenes of this tool, here's how you can convert hex to binary manually.

1. First, convert the hex number to a decimal number.
   1. Starting from the right side of your hex number, multiply each digit by an increasing multiple of 16 (Multiply the rightmost digit by 160, the next by 161, and so on). *if the digit is a letter and not a number, look up the decimal value of that letter in an online hex/decimal chart and use that number*
   2. Once all the multiplication is done, add up the sum of the results to get your decimal number.
2. When you have the decimal number, convert it to binary.
   1. Divide the decimal number by 2 using long division, and note the remainder (it'll be either 0 or 1).
   2. Take the result of the first division, and multiply that number by 2 again and make note of the remainder.
   3. Continue these steps until the result of the division is 0.
   4. Next, list the remainders in reverse order to get your binary number.