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You must know what decimal bits and hex bits are before you convert decimal to hexadecimal.
A decimal or dec bit represents a single number, digit, or letter. A decimal is also called base 10 and denary as it consists of ten numbers. They are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
A decimal is a number system and can be represented using a subscription of 10 (i.e. 235_{10} reads as two hundred and thirty-five base 10).
Decimals are the numbers that we use in everyday counting. We use the decimal number system mostly because we have ten fingers. The number 10 is made using a combination of two of these decimal numbers: 1 and 0 while a number like 209 is a combination of three decimal numbers: 2, 0, and 9.
There is no limit as to how many times the numbers can be reused, that's why it is often said that numbers never end.
Hexadecimal, also called base 16 or "hex" for short, is a representation of four binary bits and consists of seventeen numbers and letters. The hex numbers are the same as the decimal numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
The big difference between a hex and a decimal is that a hex contains letters as well. These are A, B, C, D, E, and F.
Using a subscript of 16 (i.e. 235_{16}), a hex number can be represented. These letters come in ascending order after the decimals. Therefore, the hexadecimal series looks like this: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. A hex can be considered a shorter decimal version. For example, a large number in decimal shape has a much smaller hex equivalent (to represent the decimal number, hexadecimal uses less hex bits).
Decimal base 10 | Hex base 16 |
---|---|
0 | 0 |
1 | 1 |
2 | 2 |
3 | 3 |
4 | 4 |
5 | 5 |
6 | 6 |
7 | 7 |
8 | 8 |
9 | 9 |
10 | A |
11 | B |
12 | C |
13 | D |
14 | E |
15 | F |
16 | 10 |
17 | 11 |
18 | 12 |
19 | 13 |
20 | 14 |
21 | 15 |
22 | 16 |
23 | 17 |
24 | 18 |
25 | 19 |
26 | 1A |
27 | 1B |
28 | 1C |
29 | 1D |
30 | 1E |
40 | 28 |
50 | 32 |
60 | 3C |
70 | 46 |
80 | 50 |
90 | 5A |
100 | 64 |
200 | C8 |
1000 | 3E8 |
2000 | 7D0 |
To convert from decimal to hexadecimal, repeatedly divide the decimal number by 16. Then write the last remaining column you got in the hex equivalent column. If the rest is more than nine, remember to change it to its equivalent hex letter. The answer is taken from the last remainder obtained. See the diagram below as an example in order to convert to hexadecimal:
Example
Divisor | Base Ten Number | Remainder | Hex Equivalent |
---|---|---|---|
16 | 201 | X | X |
16 | 12 | 9 | 9 |
X | 0 | 12 | C |
So the answer is C9. As you can see, it contains less bits than its 201 decimal equivalent.
Let’s understand how:
Prepostseo has developed dec to hex converter in order to convert decimal to hex easily and effortlessly. This tool generally called int to hex is also known as base 10 to base 16 converter. Moreover, you can convert hex to decimal using our online hex to dec converter. Apart this tool, we offer text to binary, decimal to binary, binary to decimal, and binary translator for free conversion.
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