255 Decimal to Hexadecimal Converter
255 Decimal to Hexadecimal Converter
The 255 Decimal to Hexadecimal Converter is used to convert the decimal number 255 (base-10) into its hexadecimal equivalent (base-16). This conversion is very important in computer science, programming, digital electronics, and color codes.
In this article, you will learn how to convert 255 from decimal to hexadecimal step-by-step, along with the logic behind the conversion.
What Is the Decimal Number System?
The decimal number system is a base-10 system that uses digits from 0 to 9. It is the standard number system used in daily life.
Example:
255 (decimal)
= (2 × 10²) + (5 × 10¹) + (5 × 10⁰)
What Is the Hexadecimal Number System?
The hexadecimal number system is a base-16 system that uses:
- Digits: 0–9
- Letters: A–F
Where:
- A = 10
- B = 11
- C = 12
- D = 13
- E = 14
- F = 15
Hexadecimal is widely used in programming, memory addressing, binary representation, and RGB color values.
Formula to Convert Decimal to Hexadecimal
Decimal to hexadecimal conversion uses the repeated division by 16 method:
- Divide the decimal number by 16
- Write down the remainder
- Divide the quotient again by 16
- Repeat until the quotient becomes 0
- Read the remainders from bottom to top
Step-by-Step Conversion of 255 Decimal to Hexadecimal
Let’s convert 255 (base-10) into hexadecimal.
Step 1: Divide by 16
255 ÷ 16 = 15
Remainder = 15 (F)
Step 2: Divide again
15 ÷ 16 = 0
Remainder = 15 (F)
Step 3: Write remainders from bottom to top
Remainders: F F
Final Answer
[
(255){10} = (FF){16}
]
✅ 255 decimal equals FF in hexadecimal
Why Does 255 Become FF in Hexadecimal?
- The maximum single hexadecimal digit is F (15)
- 255 = (15 × 16) + 15
- So both hexadecimal digits become F
This is why FF represents the maximum value of an 8-bit number.
Decimal to Hexadecimal Conversion Table (Key Values)
| Decimal | Hexadecimal |
|---|---|
| 15 | F |
| 16 | 10 |
| 32 | 20 |
| 64 | 40 |
| 128 | 80 |
| 255 | FF |
| 256 | 100 |
Why Use a 255 Decimal to Hexadecimal Converter?
Using a converter helps you:
- Get instant and accurate results
- Avoid manual calculation errors
- Save time
- Understand number system conversions easily
It is especially useful for students, programmers, engineers, and designers.
Summary
- Decimal system uses base-10
- Hexadecimal system uses base-16
- Conversion is done by division by 16
- 255 decimal = FF hexadecimal
- Hexadecimal is widely used in computing and digital systems
FaQs
Why does 255 convert to FF in hexadecimal?
In hexadecimal, the digit F represents 15.
Since 255 = (15 × 16) + 15, the hexadecimal representation becomes FF.
What does FF mean in hexadecimal?
FF is the highest two-digit hexadecimal value and is often used to represent maximum values, such as 255 in decimal or full intensity in color codes.
How do you convert 255 decimal to hexadecimal?
To convert 255 from decimal to hexadecimal, divide the number repeatedly by 16 and note the remainders. When converted, the remainders form F and F, which results in FF.