Linux bytes to hex

Binary to Hexadecimal Converter

To use this binary to hex conversion tool, you must type a binary value like 11011011 into the left field below and hit the Convert button. The converter will give you the hexadecimal (base-16) equivalent of the given value.

Binary System

The binary numeral system uses the number 2 as its base (radix). As a base-2 numeral system, it consists of only two numbers: 0 and 1.

While it has been applied in ancient Egypt, China and India for different purposes, the binary system has become the language of electronics and computers in the modern world. This is the most efficient system to detect an electric signal’s off (0) and on (1) state. It is also the basis for binary code that is used to compose data in computer-based machines. Even the digital text that you are reading right now consists of binary numbers.

Reading a binary number is easier than it looks: This is a positional system; therefore, every digit in a binary number is raised to the powers of 2, starting from the rightmost with 2 0 . In the binary system, each binary digit refers to 1 bit.

Hexadecimal System (Hex System)

The hexadecimal system (shortly hex), uses the number 16 as its base (radix). As a base-16 numeral system, it uses 16 symbols. These are the 10 decimal digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and the first six letters of the English alphabet (A, B, C, D, E, F). The letters are used because of the need to represent the values 10, 11, 12, 13, 14 and 15 each in one single symbol.

Hex is used in mathematics and information technologies as a more friendly way to represent binary numbers. Each hex digit represents four binary digits; therefore, hex is a language to write binary in an abbreviated form.

Four binary digits (also called nibbles) make up half a byte. This means one byte can carry binary values from 0000 0000 to 1111 1111. In hex, these can be represented in a friendlier fashion, ranging from 00 to FF.

In html programming, colors can be represented by a 6-digit hexadecimal number: FFFFFF represents white whereas 000000 represents black.

How to Convert Binary to Hex

Converting from binary to hex is easy since hexadecimal numbers are simplified versions of binary strings. You just need to remember that each hex digit represents four binary digits. It follows that four binary digits will be equal to one hex digit. The method is easier than it sounds but it’s always useful to use a binary to hex conversion chart to save time.

Step 1: Write down the binary number and group the digits (0’s and 1’s) in sets of four. Start doing this from the right. If the leftmost group doesn’t have enough digits to make up a set of four, add extra 0’s to make a group.

Step 2: Write 8, 4, 2 and 1 below each group. These are the weights of the positions or place holders in the number (2 3 , 2 2 , 2 1 and 2 0 ).

Step 3: Every group of four in binary will give you one digit in hexadecimal. Multiply the 8, 4, 2 and 1’s by the digit above.

Step 4: Add the products within each set of four. Write the sums below the groups they belong to.

Step 5: The digits you get from the sums in each group will give you the hexadecimal number, from left to right.

Now, let’s apply these steps to, for example, the binary number (10101010)₂

Step 1: 10101010 has eight digits and therefore can be grouped in sets of four without adding 0’s.
Think of the number as (1010)(1010)

Step 2: Write 8, 4, 2 and 1 below each group.

Step 3: Multiply the 8, 4, 2 and 1’s with the digit above.

Step 4: Add the products within each set of four.

In the first group, 8 + 2 = 10

In the second group, 8 + 2 = 10

Write these digits below the groups they belong to.

Step 5: Notice that, in order to represent values above 9, letters will be used. 10 is represented as the letter A in the hexadecimal system. Therefore, (10101010)₂ = (AA)₁₆

Binary to Hex Conversion Examples

Example 1: (10001110)₂ = (8E)₁₆

Example 2: (111011.111)₂ = (3B.E)₁₆

(Notice that this binary number has a decimal point and cannot be automatically grouped in sets of four. You need to add 0’s both the leftmost and the rightmost parts.)

Binary to Hexadecimal Conversion Chart

The following binary to hexadecimal conversion chart shows which four binary digits are equivalent to which hex symbol:

Binary	Hexadecimal
00000001	1
00000010	2
00000011	3
00000100	4
00000101	5
00000110	6
00000111	7
00001000	8
00001001	9
00001010	A
00001011	B
00001100	C
00001101	D
00001110	E
00001111	F
00010000	10
00010001	11
00010010	12
00010011	13
00010100	14
00010101	15
00010110	16
00010111	17
00011000	18
00011001	19
00011010	1A
00011011	1B
00011100	1C
00011101	1D
00011110	1E
00011111	1F
00100000	20
00100001	21
00100010	22
00100011	23
00100100	24
00100101	25
00100110	26
00100111	27
00101000	28
00101001	29
00101010	2A
00101011	2B
00101100	2C
00101101	2D
00101110	2E
00101111	2F
00110000	30
00110001	31
00110010	32
00110011	33
00110100	34
00110101	35
00110110	36
00110111	37
00111000	38
00111001	39
00111010	3A
00111011	3B
00111100	3C
00111101	3D
00111110	3E
00111111	3F
01000000	40

Binary	Hexadecimal
01000001	41
01000010	42
01000011	43
01000100	44
01000101	45
01000110	46
01000111	47
01001000	48
01001001	49
01001010	4A
01001011	4B
01001100	4C
01001101	4D
01001110	4E
01001111	4F
01010000	50
01010001	51
01010010	52
01010011	53
01010100	54
01010101	55
01010110	56
01010111	57
01011000	58
01011001	59
01011010	5A
01011011	5B
01011100	5C
01011101	5D
01011110	5E
01011111	5F
01100000	60
01100001	61
01100010	62
01100011	63
01100100	64
01100101	65
01100110	66
01100111	67
01101000	68
01101001	69
01101010	6A
01101011	6B
01101100	6C
01101101	6D
01101110	6E
01101111	6F
01110000	70
01110001	71
01110010	72
01110011	73
01110100	74
01110101	75
01110110	76
01110111	77
01111000	78
01111001	79
01111010	7A
01111011	7B
01111100	7C
01111101	7D
01111110	7E
01111111	7F
10000000	80

Binary	Hexadecimal
10000001	81
10000010	82
10000011	83
10000100	84
10000101	85
10000110	86
10000111	87
10001000	88
10001001	89
10001010	8A
10001011	8B
10001100	8C
10001101	8D
10001110	8E
10001111	8F
10010000	90
10010001	91
10010010	92
10010011	93
10010100	94
10010101	95
10010110	96
10010111	97
10011000	98
10011001	99
10011010	9A
10011011	9B
10011100	9C
10011101	9D
10011110	9E
10011111	9F
10100000	A0
10100001	A1
10100010	A2
10100011	A3
10100100	A4
10100101	A5
10100110	A6
10100111	A7
10101000	A8
10101001	A9
10101010	AA
10101011	AB
10101100	AC
10101101	AD
10101110	AE
10101111	AF
10110000	B0
10110001	B1
10110010	B2
10110011	B3
10110100	B4
10110101	B5
10110110	B6
10110111	B7
10111000	B8
10111001	B9
10111010	BA
10111011	BB
10111100	BC
10111101	BD
10111110	BE
10111111	BF
11000000	C0

Binary	Hexadecimal
11000001	C1
11000010	C2
11000011	C3
11000100	C4
11000101	C5
11000110	C6
11000111	C7
11001000	C8
11001001	C9
11001010	CA
11001011	CB
11001100	CC
11001101	CD
11001110	CE
11001111	CF
11010000	D0
11010001	D1
11010010	D2
11010011	D3
11010100	D4
11010101	D5
11010110	D6
11010111	D7
11011000	D8
11011001	D9
11011010	DA
11011011	DB
11011100	DC
11011101	DD
11011110	DE
11011111	DF
11100000	E0
11100001	E1
11100010	E2
11100011	E3
11100100	E4
11100101	E5
11100110	E6
11100111	E7
11101000	E8
11101001	E9
11101010	EA
11101011	EB
11101100	EC
11101101	ED
11101110	EE
11101111	EF
11110000	F0
11110001	F1
11110010	F2
11110011	F3
11110100	F4
11110101	F5
11110110	F6
11110111	F7
11111000	F8
11111001	F9
11111010	FA
11111011	FB
11111100	FC
11111101	FD
11111110	FE
11111111	FF

Recent Comments

No need to multiply by 0 or 1 you can simply add the digits to get the correct answer

8421 = 10 8421 = 10
= AA

i found what i wanted thanks

such a good site to reduce the time management and lots of enjoy.

I enjoyed the lesson so much, thank you for the compliment!!
Good work!!

It has now given me a better understanding on Binary to Hexadecimal conversion.
Thanks so much. I really appreciate.

i found it correct answer on this

Example 1 is correct. The arithmetic related to 8420 indeed equals 14, but the way you are counting may be fooling you. Recall that counting starts at zero, so the tenth digit is actually the number 9. When you reach ten in hex, you start using letters. Thus 10=A, 11=B, 12=C, 13=D, 14=E, and 15=F.

As other said befores there is a error in example 1, 8420 is equal to 14 not 15

Wow. What a great!!

Given a 5-byte value, how many hexadecimal digits would be required to represent the value in hexadecimal notation?

Tony your decode 320287629574179863518586227882627903634377968

Can you help me answer my exercise please, 1111 1111(binary) AND 1010 1010(binary) AND 0101 0101(binary)=

can you decode this to text?

00001110 01011100 10111000 10111111 01111101 01011111 00111010 00111001 01111000 11011101 01000110 01001111 10001111 10111110 11010000 10001110 11100101 10001100 11110000

Really a nice tool really

thanx for your help.

There is a fault in example 1: 8420 is equal to 14, not 15

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