Binary To HEx

Binary Number System Explained

The binary number system is a base-2 system, which means it uses only two digits: 0 and 1. Those two values are perfect for modern electronics because they match how hardware works in real life: off (0) and on (1). That’s why computers store, process, and send information in binary—everything from images to apps to the text you’re reading right now.

Binary is also a positional system, so each digit has a place value. Starting from the right, the values go 2⁰, 2¹, 2², 2³…. Add the place values where the digit is 1, and you get the number in decimal. Each binary digit is called a bit, and groups of bits are commonly used to represent larger values. When you want to make those long binary strings easier to read, a binary to hex converter is the fastest way to turn binary into clean, compact hexadecimal (base-16) values.

Hexadecimal Number System

The hexadecimal system (hex) is a base-16 number system used to write values in a shorter, cleaner way. It has 16 symbols: the digits 0–9 and the letters A–F, where A = 10 and F = 15. These letters exist so every value from 0 to 15 fits into a single character.

Hex is popular in computing because it’s a compact form of binary. One hex digit equals four binary digits, so long binary strings become easy to read and copy. That’s why developers often convert binary to hex online when they want fast, human-friendly values for debugging, coding, or data work.

Four binary digits are called a nibble, and two nibbles make one byte. In binary, a byte ranges from 0000 0000 to 1111 1111. In hex, the same byte is shown as 00 to FF—much simpler, but still the same value.

You’ll also see hex in web design. HTML/CSS colours commonly use a 6-digit hex code: FFFFFF is white, and 000000 is black. That is another reason hex stays a go-to format in modern tech.

How to Convert Binary to Hex

Binary to hex conversion is simple because hex is just a shorter way to write binary. The key rule is this: 1 hex digit = 4 binary digits. So you convert the binary number into 4-bit groups, then turn each group into a single hex character.

Group the binary digits

Write your binary number and split it into sets of four starting from the right side. If the first group on the left has fewer than 4 digits, pad it with zeros on the left.

Use the 8-4-2-1 values.

For each 4-bit group, label the positions as 8, 4, 2, 1 from left to right. These are the place values for that group.

Add only the values above “1”

Look at the four bits. Add the place values where the bit is 1 (ignore the ones where the bit is 0).

That total will be a number from 0 to 15.

Convert the total to a hex digit.

• 0–9 stay the same
• 10–15 become A–F (10=A, 11=B, 12=C, 13=D, 14=E, 15=F)

Join the hex digits.

Do this for every 4-bit group, then read the hex digits from left to right. Put them together to get your final hexadecimal number.