When working with numbers, especially in computer science and programming, it’s essential to understand how to convert between different number systems. One common conversion is from decimal to hexadecimal. In this article, we will provide you with a quick guide on how to convert decimal numbers to hexadecimal effortlessly.
Understanding Decimal and Hexadecimal Number Systems
Before we delve into the conversion process, let’s quickly review what decimal and hexadecimal number systems are.
- Decimal: The decimal number system is a base-10 system, meaning it uses 10 digits (0-9) to represent numbers.
- Hexadecimal: The hexadecimal number system is a base-16 system, using 16 digits (0-9 and A-F) to represent numbers.
Steps to Convert Decimal to Hexadecimal
Follow these simple steps to convert a decimal number to hexadecimal:
- Divide the decimal number by 16.
- Write down the remainder (in hexadecimal form if it’s greater than 9).
- Repeat the process with the quotient until it is equal to 0.
- Write the remainders in reverse order to get the hexadecimal equivalent.
Example Conversion
Let’s convert the decimal number 235 to hexadecimal:
- 235 ÷ 16 = 14 remainder 11 (B in hexadecimal).
- 14 ÷ 16 = 0 remainder 14 (E in hexadecimal).
Therefore, 235 in decimal is equal to EB in hexadecimal.
With this guide and examples, you can now easily convert decimal numbers to hexadecimal. Remember to practice to become more proficient in converting between number systems.