Decimal to Hex
Convert decimal numbers to hexadecimal effortlessly
Converter Tool
Enter a decimal number. Choose between unsigned and signed (two's complement) interpretation. Select the bit size to format the output correctly.
Bits:
0
Type:
Unsigned
Binary Representation:
About Number Systems
Decimal System
The decimal system is a base-10 numbering system that uses ten distinct symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It is the most commonly used number system in everyday life.
Hexadecimal System
The hexadecimal system is a base-16 numbering system that uses 16 distinct symbols. These symbols are 0-9 to represent values zero to nine, and A-F (or a-f) to represent values ten to fifteen.
Decimal to Hexadecimal Conversion Table
| Decimal | Hexadecimal | Decimal | Hexadecimal |
|---|---|---|---|
| 0 | 0 | 8 | 8 |
| 1 | 1 | 9 | 9 |
| 2 | 2 | 10 | A |
| 3 | 3 | 11 | B |
| 4 | 4 | 12 | C |
| 5 | 5 | 13 | D |
| 6 | 6 | 14 | E |
| 7 | 7 | 15 | F |
Two's Complement
Two's complement is a mathematical operation used to represent negative numbers in binary systems. It is widely used in computing because it simplifies arithmetic operations such as addition and subtraction.
To convert a positive number to its negative counterpart in two's complement:
- Convert the number to binary.
- Invert all the bits (change 0 to 1 and 1 to 0).
- Add 1 to the result of the inversion.
To convert a negative two's complement number back to decimal:
- Invert all the bits.
- Add 1 to the result of the inversion.
- Convert the result to decimal and prefix it with a negative sign.
Example: 8-bit Two's Complement
Positive Number (5):
0000 0101 (binary)
Negative Number (-5):
1111 1010 (inverted bits of 5)
1111 1011 (add 1 = two's complement representation of -5)
Range for 8-bit Two's Complement:
-128 (1000 0000) to 127 (0111 1111)
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