# Binary to Hex Converter

### What is Binary?

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.

The hexadecimal numeral system, often shortened to "hex", is a numeral system made up of 16 symbols (base 16). The standard numeral system is called decimal (base 10) and uses ten symbols: 0,1,2,3,4,5,6,7,8,9. Hexadecimal uses the decimal numbers and six extra symbols. There are no numerical symbols that represent values greater than nine, so letters taken from the English alphabet are used, specifically A, B, C, D, E and F. Hexadecimal A = decimal 10, and hexadecimal F = decimal 15.

#### Binary to Hex Conversion Examples

Example 1: (10001110)2 = (8E)16

1000 1110

8421 8421

8000 8420

8 15

8 E

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.)

0011 1011. 1110

8421 8421 8421

0021 8021 8420

3 11. 14

3  B.  E

## Binary to Hex conversion table

Binary Number Decimal Number Hex 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 10 A
1011 11 B
1100 12 C
1101 13 D
1110 14 E
1111 15 F
10000 16 10
10001 17 11
10010 18 12
10011 19 13
10100 20 14
10101 21 15
10110 22 16
10111 23 17
11000 24 18
11001 25 19
11010 26 1A
11011 27 1B
11100 28 1C
11101 29 1D
11110 30 1E
11111 31 1F
100000 32 20
1000000 64 40
10000000 128 80
100000000 256 100