Binary to Hexadecimal Converter

Enter a binary number below to convert it to hex.

Hexadecimal Number:

Steps to Convert to Hexadecimal

Learn how we calculated this below

How to Convert Binary to Hex

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

Binary and hexadecimal numbers are often used in computing, networking, and software applications, so it is fairly 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 and moving to the left. The reason for this is that a group of four base 2 numbers, or 2⁴ is equal to 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)

It is okay if the first group does 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.

1₂ = 1₁₀ = 1₁₆
1100₂ = 8 + 4 + 0 + 0 = 12₁₀ = c₁₆
0111₂ = 0 + 4 + 2 + 1 = 7₁₀ = 7₁₆
1011₂ = 8 + 0 + 2 + 1 = 11₁₀ = b₁₆

So, 1110001111011₂ in binary is equal to 1c7b₁₆ in hex.

Binary Nibble Hex Values

The following table shows the hex digits for each possible group, also called a nibble, of four binary digits.

Binary nibbles converted to the equivalent hex digits
Binary Nibble	Hexadecimal Digit
0000	0
0001	1
0010	2
0011	3
0100	4
0101	5
0110	6
0111	7
1000	8
1001	9
1010	a
1011	b
1100	c
1101	d
1110	e
1111	f

graphic showing how to convert a binary number to hexadecimal

You can also use a tool like our binary calculator to convert to decimal or hex.

Binary to Hex Conversion Table

The table below shows binary numbers and the equivalent hexadecimal number values.

Binary numbers converted to the equivalent hex values
Binary Number	Hexadecimal Number	Decimal Number
0	0	0
1	1	1
10	2	2
11	3	3
100	4	4
101	5	5
110	6	6
111	7	7
1000	8	8
1001	9	9
1010	a	10
1011	b	11
1100	c	12
1101	d	13
1110	e	14
1111	f	15
10000	10	16
10001	11	17
10010	12	18
10011	13	19
10100	14	20
10101	15	21
10110	16	22
10111	17	23
11000	18	24
11001	19	25
11010	1a	26
11011	1b	27
11100	1c	28
11101	1d	29
11110	1e	30
11111	1f	31
100000	20	32
1000000	40	64
10000000	80	128
100000000	100	256
1000000000	200	512
10000000000	400	1024
100000000000	800	2048

You might also be interested in our hex calculator to add or subtract hexadecimal numbers.

Frequently Asked Questions

When would you use hex instead of binary?

You would use hex instead of binary when you need to use less storage when computing since hexadecimals are more concise. Hex is also easier for humans (not computers) to use and less prone to error.

Why convert to hex and not decimal?

Hex is more concise and uses less memory. Also, it is more efficient to convert between hex and binary than hex to decimal.

How do you know if a number is in binary or hex?

A binary number only has 0 or 1, while a hex number will have 0-9 and/or A-F.