To use this online Decimal to Hexadecimal Converter, enter a decimal value (for example, 255) in the input field and click the Convert button. This tool instantly converts base-10 numbers into hexadecimal (base-16) format with accurate results.
Decimal to Hexadecimal Converter
How to Calculate Decimal to Hexadecimal
Decimal (base-10) and hexadecimal (base-16) are different number systems used in computing and mathematics. To convert from decimal to hexadecimal, you need to repeatedly divide by 16 and record the remainders.
Here are the steps to convert decimal to hexadecimal:
- Divide the decimal number by 16
- Record the remainder (0-15)
- Replace remainders 10-15 with A-F respectively
- Continue dividing the quotient by 16 until the quotient is 0
- Read the remainders in reverse order to get the hexadecimal value
Example: Converting 473 from decimal to hexadecimal
473 ÷ 16 = 29 remainder 9
29 ÷ 16 = 1 remainder 13 (D)
1 ÷ 16 = 0 remainder 1
Reading remainders in reverse: 1D9
Therefore, 473 in decimal = 1D9 in hexadecimal
Understanding the Decimal System
The decimal system is the most familiar number system, using 10 as its base. It employs ten symbols (0-9) and uses positional notation where each position represents a power of 10.
Example: The number 2345.67 in decimal
2 × 10³ + 3 × 10² + 4 × 10¹ + 5 × 10⁰ + 6 × 10⁻¹ + 7 × 10⁻²
2000 + 300 + 40 + 5 + 0.6 + 0.07 = 2345.67
Understanding the Hexadecimal System
The hexadecimal system uses 16 as its base, making it particularly useful in computing. It employs 16 distinct symbols:
- The numbers 0 through 9 (representing values 0-9)
- The letters A through F (representing values 10-15)
Hex is widely used because it provides a more human-friendly representation of binary-coded values. Each hex digit represents exactly four binary digits (bits), making it easier to read and write large binary numbers.
Common applications of hexadecimal:
- Memory addresses in computer systems
- Color codes in web design (e.g., #FFFFFF for white)
- Error codes and debugging information
- Machine code and assembly language programming
Decimal to Hexadecimal Conversion Chart
This quick reference chart shows common decimal values and their hexadecimal equivalents:
| Decimal | Hexadecimal | Decimal | Hexadecimal |
|---|---|---|---|
| 0 | 0 | 16 | 10 |
| 1 | 1 | 32 | 20 |
| 2 | 2 | 48 | 30 |
| 3 | 3 | 64 | 40 |
| 4 | 4 | 80 | 50 |
| 5 | 5 | 96 | 60 |
| 6 | 6 | 112 | 70 |
| 7 | 7 | 128 | 80 |
| 8 | 8 | 144 | 90 |
| 9 | 9 | 160 | A0 |
| 10 | A | 176 | B0 |
| 11 | B | 192 | C0 |
| 12 | C | 208 | D0 |
| 13 | D | 224 | E0 |
| 14 | E | 240 | F0 |
| 15 | F | 255 | FF |
Quick conversion tips:
- To convert from decimal to hex, repeatedly divide by 16 and record remainders
- To convert from hex to decimal, multiply each digit by 16^position and sum
- Remember that hex A-F represent decimal values 10-15
- One byte (8 bits) is represented by two hex digits (00-FF)
FaQs
What is a Decimal to Hexadecimal Converter?
A Decimal to Hexadecimal Converter is an online tool that converts decimal (base-10) numbers into hexadecimal (base-16) values accurately and instantly.
How do I use the Decimal to Hex Converter?
Enter a decimal number (for example, 255) into the input field and click the Convert button. The hexadecimal result will appear immediately.
What is a hexadecimal number?
A hexadecimal number uses 16 symbols: numbers 0–9 and letters A–F, where A = 10 and F = 15.
Does this converter support lowercase hexadecimal output?
Yes, the tool can display hexadecimal results in uppercase or lowercase, depending on the format used.