Need to convert a hexadecimal number into decimal, binary, or octal? Our free Hexadecimal Converter makes it quick and easy. Enter a hexadecimal number, choose the conversion you need, and get the result instantly. You can also convert decimal, binary, or octal numbers back to hexadecimal. It is useful for programming, computer science, digital electronics, web development, and learning number systems.
How to Use the Hexadecimal Converter
The Hexadecimal Converter is easy to use. Enter a number, select the conversion you need, and click Convert.
- Enter your number in the input box.
- Choose the conversion from the Convert dropdown.
- Click Convert.
- The converted value will appear in the result box.
For example, enter FF and select Hexadecimal to Decimal. The result is 255.
You can also convert the other way. Enter 255, select Decimal to Hexadecimal, and the result will be FF.
What Is Hexadecimal?
Hexadecimal is a Base 16 number system. It uses 16 symbols:
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
The letters A through F represent the values 10 through 15.
For example:
- A = 10
- B = 11
- C = 12
- D = 13
- E = 14
- F = 15
After 9, hexadecimal continues with A, B, C, D, E, and F.
Why Is Hexadecimal Used?
Hexadecimal is commonly used in computing because it provides a shorter way to represent binary values.
A long binary number can be difficult to read, while the same value written in hexadecimal is usually much shorter.
For example:
11111111₂ = FF₁₆
Both represent the same value.
Hexadecimal is commonly encountered in programming, computer systems, digital electronics, memory addresses, and web development.
How Does Hexadecimal Work?
Each position in a hexadecimal number represents a power of 16.
For example, the hexadecimal number 2F can be calculated as:
2 × 16 + 15
So:
32 + 15 = 47
Therefore:
2F₁₆ = 47₁₀
The same principle applies to longer hexadecimal numbers.
Hexadecimal Place Values
Some common hexadecimal place values are:
| Position | Value |
|---|---|
| 16⁰ | 1 |
| 16¹ | 16 |
| 16² | 256 |
| 16³ | 4,096 |
| 16⁴ | 65,536 |
| 16⁵ | 1,048,576 |
For example, 1A3 can be calculated as:
1 × 256 + 10 × 16 + 3
Which gives:
256 + 160 + 3 = 419
Therefore:
1A3₁₆ = 419₁₀
Hexadecimal to Decimal Conversion
To convert hexadecimal to decimal, each hexadecimal digit is multiplied by its corresponding power of 16.
For example:
FF₁₆
can be calculated as:
15 × 16 + 15
which equals:
255
Therefore:
FF₁₆ = 255₁₀
The converter performs this calculation automatically.
Decimal to Hexadecimal Conversion
Decimal numbers can also be converted into hexadecimal.
For example:
255₁₀ = FF₁₆
Another example:
100₁₀ = 64₁₆
This conversion is useful when working with programming, computer systems, and digital electronics.
Hexadecimal to Binary
Hexadecimal and binary are closely related because each hexadecimal digit represents exactly four binary digits.
For example:
A₁₆ = 1010₂
and:
F₁₆ = 1111₂
Therefore:
AF₁₆ = 10101111₂
Some common conversions are:
| Hexadecimal | Binary |
|---|---|
| 0 | 0000 |
| 1 | 0001 |
| 5 | 0101 |
| 9 | 1001 |
| A | 1010 |
| B | 1011 |
| C | 1100 |
| D | 1101 |
| E | 1110 |
| F | 1111 |
Binary to Hexadecimal
Binary numbers can easily be converted into hexadecimal by grouping the binary digits into groups of four.
For example:
10101111
can be divided into:
1010 1111
The two groups represent:
A and F
So:
10101111₂ = AF₁₆
Hexadecimal to Octal
Octal is a Base 8 number system that uses digits from 0 to 7.
A hexadecimal number can be converted to octal by first converting it to its numerical value and then representing that value in Base 8.
For example:
FF₁₆ = 377₈
The converter can perform this conversion automatically.
Octal to Hexadecimal
You can also convert an octal number into hexadecimal.
For example:
377₈ = FF₁₆
Both values represent the same numerical value.
Hexadecimal Examples
Here are some common hexadecimal conversions:
| Hexadecimal | Decimal | Binary | Octal |
|---|---|---|---|
| 0 | 0 | 0000 | 0 |
| 1 | 1 | 0001 | 1 |
| A | 10 | 1010 | 12 |
| F | 15 | 1111 | 17 |
| 10 | 16 | 10000 | 20 |
| FF | 255 | 11111111 | 377 |
| 100 | 256 | 100000000 | 400 |
Hexadecimal in Programming
Hexadecimal is frequently used by programmers because it makes certain values easier to read and write than long binary strings.
You may see hexadecimal values when working with:
- Programming languages
- Memory addresses
- Machine-level data
- Debugging
- Digital electronics
- Computer hardware
- Network data
Hexadecimal values are often written with a prefix such as 0x in programming.
For example:
0xFF
represents the hexadecimal value FF.
The converter itself accepts the hexadecimal value without requiring the 0x prefix.
Hexadecimal Colors in Web Design
Hexadecimal values are also widely used for colors on websites.
A common web color uses six hexadecimal digits to represent red, green, and blue components.
For example:
#FF0000
represents red.
The first two digits represent the red component, the next two represent green, and the final two represent blue.
Other examples include:
- #00FF00 – green
- #0000FF – blue
- #FFFFFF – white
- #000000 – black
Hexadecimal vs Decimal
Decimal is the number system people commonly use in everyday life, while hexadecimal is frequently used in computing and technology.
| Feature | Decimal | Hexadecimal |
|---|---|---|
| Base | 10 | 16 |
| Digits | 0–9 | 0–9 and A–F |
| Common use | Everyday numbers | Computing and technology |
| Example | 255 | FF |
Both systems can represent the same numerical values.
Hexadecimal vs Binary
Binary uses only two digits:
0 and 1
Hexadecimal uses sixteen symbols:
0–9 and A–F
Hexadecimal is often more compact than binary.
For example:
11111111₂ = FF₁₆
The binary representation contains eight digits, while the hexadecimal representation contains only two.
Why Use a Hexadecimal Converter?
Converting hexadecimal numbers manually can take time, especially when working with larger values.
This converter provides a quick way to check hexadecimal conversions and can be useful for:
- Programming practice
- Computer science
- Digital electronics
- Web development
- Learning number systems
- Checking homework
- Understanding binary and hexadecimal values
- Quick calculations
Frequently Asked Questions
What is hexadecimal?
Hexadecimal is a Base 16 number system that uses the digits 0–9 and letters A–F.
What is FF in decimal?
FF in hexadecimal is 255 in decimal.
What is 255 in hexadecimal?
255 in decimal is FF in hexadecimal.
What is A in hexadecimal?
A represents the decimal value 10.
What is F in hexadecimal?
F represents the decimal value 15.
What is FF in binary?
FF in hexadecimal is 11111111 in binary.
Can I convert binary to hexadecimal?
Yes. Select Binary to Hexadecimal, enter your binary number, and click Convert.
Can I convert hexadecimal to octal?
Yes. Select Hexadecimal to Octal and enter your hexadecimal number.
Can I convert octal to hexadecimal?
Yes. Select Octal to Hexadecimal and enter your octal number.
Does the converter support large numbers?
Yes. The converter uses JavaScript BigInt for its calculations, allowing it to handle very large whole-number values.
Can I enter lowercase hexadecimal letters?
Yes. You can enter hexadecimal letters in either uppercase or lowercase. The result is displayed using uppercase letters.
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