There are two main systems used in daily life: the decimal and the binary systems. The decimal and the binary systems. Decimal and binary. Both systems work from a base of 10 (radix). As such, it has ten symbols: 0 to 9. These are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Understanding Binary Numbers.
The hexadecimal system (shortly hex) uses 16 as its base (radix). 16 symbols are used to represent the base-16 numeral system. It consists of the first six letters of the English alphabet (A, B, C, D, E, F) and the first ten decimal digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). Because of the need to represent each of the values 10, 11, 12, 13, 14 and 15 in one single symbol, the letters are used.
Hex is a more user-friendly method of representing binary numbers in mathematics and information technology. The hex digit represents four binary digits, which is why hex is a language to write binary in an abbreviated form.
Half a byte is made up of four binary digits (also called nibbles). Hence, one byte can carry binary values between 0000 0000 and 1111 1111. These can be represented in hex, ranging from 00 to FF, in a more friendly manner.
The hexadecimal representation of colors in HTML is FFFFFF
for white, and 000000
for black.
The hexadecimal number is a base 16 number, while the decimal number is a base 10. The decimal equivalent of every hex digit is needed for conversion.
For hex number with n
digits:
d n-1 ... d 3 d 2 d 1 d 0
decimal =
d n-1×16 n-1 + ... + d 3×16 3 + d 2×16 2 + d 1×16 1+d 0×16 0
The easiest method is to use our Hexadecimal to Decimal converter tool. To use this tool follow the steps below:
Hex base 16 |
Decimal base 10 |
Calculation |
---|---|---|
0 | 0 | - |
1 | 1 | - |
2 | 2 | - |
3 | 3 | - |
4 | 4 | - |
5 | 5 | - |
6 | 6 | - |
7 | 7 | - |
8 | 8 | - |
9 | 9 | - |
A | 10 | - |
B | 11 | - |
C | 12 | - |
D | 13 | - |
E | 14 | - |
F | 15 | - |
10 | 16 | 1×16 1+0×16 0 = 16 |
11 | 17 | 1×16 1+1×16 0 = 17 |
12 | 18 | 1×16 1+2×16 0 = 18 |
13 | 19 | 1×16 1+3×16 0 = 19 |
14 | 20 | 1×16 1+4×16 0 = 20 |
15 | 21 | 1×16 1+5×16 0 = 21 |
16 | 22 | 1×16 1+6×16 0 = 22 |
17 | 23 | 1×16 1+7×16 0 = 23 |
18 | 24 | 1×16 1+8×16 0 = 24 |
19 | 25 | 1×16 1+9×16 0 = 25 |
1A | 26 | 1×16 1+10×16 0 = 26 |
1B | 27 | 1×16 1+11×16 0 = 27 |
1C | 28 | 1×16 1+12×16 0 = 28 |
1D | 29 | 1×16 1+13×16 0 = 29 |
1E | 30 | 1×16 1+14×16 0 = 30 |
1F | 31 | 1×16 1+15×16 0 = 31 |
20 | 32 | 2×16 1+0×16 0 = 32 |
30 | 48 | 3×16 1+0×16 0 = 48 |
40 | 64 | 4×16 1+0×16 0 = 64 |
50 | 80 | 5×16 1+0×16 0 = 80 |
60 | 96 | 6×16 1+0×16 0 = 96 |
70 | 112 | 7×16 1+0×16 0 = 112 |
80 | 128 | 8×16 1+0×16 0 = 128 |
90 | 144 | 9×16 1+0×16 0 = 144 |
A0 | 160 | 10×16 1+0×16 0 = 160 |
B0 | 176 | 11×16 1+0×16 0 = 176 |
C0 | 192 | 12×16 1+0×16 0 = 192 |
D0 | 208 | 13×16 1+0×16 0 = 208 |
E0 | 224 | 14×16 1+0×16 0 = 224 |
F0 | 240 | 15×16 1+0×16 0 = 240 |
100 | 256 | 1×16 2+0×16 1+0×16 0 = 256 |
200 | 512 | 2×16 2+0×16 1+0×16 0 = 512 |
300 | 768 | 3×16 2+0×16 1+0×16 0 = 768 |
400 | 1024 | 4×16 2+0×16 1+0×16 0 = 1024 |