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Decimal and hexadecimal (hex) are two different numeral systems used to represent numbers.
Decimal
Decimal is the base-10 numeral system, which is the one most commonly used by humans. It uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. In the decimal system, each digit’s position represents a power of 10.
Hexadecimal (Hex)
Hexadecimal is a base-16 numeral system often used in computing and digital systems. It uses sixteen symbols: 0-9 for values 0 to 9, and A-F (or a-f) for values 10 to 15. In hex, each digit’s position represents a power of 16.
How to convert from decimal to hex
Converting a decimal number to hexadecimal involves dividing the decimal number by 16 and noting the remainders at each step. Here’s a step-by-step process:
- Step 1: Write down the decimal number.
- Step 2: Divide the number by 16.
- Step 3: Repeat the division until the quotient becomes 0.
- Step 4: Read the hexadecimal number from bottom to top.
Decimal to hex conversion table
| 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 |
Learn More
- Binary to Decimal converter
- Binary to hex converter
- Binary to octal converter
- Binary to string converter
- Decimal to fraction converter
- Decimal to percent converter
FAQs on Decimal to hex converter
In the conversion of decimal to hex, what is the change in their bases?
Decimal and hexadecimal are different numeral systems with varying bases. Decimal uses base-10 (0 to 9), while hexadecimal uses base-16 (0 to 9 and A to F).
How do you convert from decimal to hex?
To convert decimal to hex, follow these steps: Divide the decimal number by 16. Write down the remainder as a hexadecimal digit (0 to 9 or A to F). Continue dividing and writing down remainders until the quotient becomes 0. Read the hexadecimal digits in reverse order to obtain the hex representation.
What is hex 9 in decimal?
Hexadecimal 9 is equivalent to the decimal number 9.
What is decimal in hex?
To convert a decimal number to hexadecimal, follow the steps mentioned earlier for conversion.
What is 12 hex in decimal?
Hexadecimal 12 is equivalent to the decimal number 18.
What is 0x in hex?
In programming and computing, 0x is a prefix used to indicate that a number is in hexadecimal notation. For example, 0x1A represents the hexadecimal number 1A, which is equivalent to 26 in decimal.
