# Binary to Hexadecimal conversion

Our binary to hexadecimal converter is a free conversion tool enabling you to convert from binary to hexadecimal easily.

## What is the binary number system?

The binary number system is a base 2 number system. It only uses the digits 0 and 1. On the other hand, decimal is a base 10 number system since it uses ten digits, 0 to 9.

Often you'll need to convert a binary number to its decimal value since most people use the decimal system. Binary numbers are often used in computing applications.

## What is the hexadecimal number system?

Hexadecimal is a numbering system with a base '16'. The hex system is used to represent large numbers with fewer digits.

In this system, there are 16 symbols or possible digit values from 0 to 9, followed by six alphabetic characters -- A, B, C, D, E, and F. These characters are used to represent decimal values from 10 to 15 in single bits.

## How to Convert Binary to Hexadecimal

The binary number system is a base 2 number system since it only uses the digits 0 and 1. Hexadecimal is a base 16 number system since it uses sixteen digits, 0 to 9, plus the letters A through F.

Binary and hexadecimal numbers are often used in computing, networking, and software applications, so it’s common to need to convert from one to the other.

You can convert from binary to hex in a few simple steps.

### Step One: Split into Groups of Four Digits

The first step is to break the binary number into groups of four digits, starting from the right to the left. This is because a group of four bases 2 numbers, or 24, equals 16, which is evenly divisible into the base 16 number system.

For example, the binary number 1110001111011 can be broken into the following groups:

1110001111011

(1)(1100)(0111)(1011)

The first group must not have four digits. You can also add additional zeros to precede the digits in the first group so that there are four digits.

### Step Two: Convert Each Binary Group to a Hexadecimal Digit

At this point each group of four binary digits can be converted to a hexadecimal digit.

11002 = 8 + 4 + 0 + 0 = 1210 = c16

01112 = 0 + 4 + 2 + 1 = 710 = 716

10112 = 8 + 0 + 2 + 1 = 1110 = b16

So, 1110001111011 in binary is equal to 1c7b in hex.

### Examples

- convert the binary number 1011 to hexadecimal
- hex = (1011)

hex = B_{16} - convert the binary number 101101 to hexadecimal
- hex = (10)(1101)

hex = 2D_{16} - convert the binary number 1011010 to hexadecimal
- hex = (101)(1010)

hex = 5A_{16}

## How to use our binary to hexadecimal converter

Follow these 3 simple steps to use our binary to hexadecimal converter

- Input the binary number you wish to convert
- Click on convert and watch this result display in the box below it
- Click Reset to reset the binary value

## Binary to Hexadecimal Conversion Table

binary | hexadecimal |
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