Understanding Decimal system and convert from DEC to HEX

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Understanding Decimal and Hexadecimal Systems

Before we delve into conversions, let’s refresh our understanding of decimal and hexadecimal systems:

Decimal (DEC): This is the number system we use daily, based on 10 digits from 0 to 9.

Hexadecimal (HEX): Unlike decimal, hexadecimal is based on 16 digits, consisting of 0-9 followed by A-F, where A represents 10, B represents 11, and so on up to F representing 15.

Converting DEC to HEX

Converting from decimal to hexadecimal might seem daunting, but it’s quite manageable once you understand the process.

Let’s take an example: DEC 65123.

  1. Divide and Remainder: Start by dividing the decimal number by 16. Note down the quotient and the remainder.
65123 ÷ 16 = 4070 with a remainder of 3 (3)

Repeat Division: Take the quotient obtained from the previous step and divide it again by 16. Note down the new quotient and remainder.

4070 ÷ 16 = 254 with a remainder of 6 (6)

Continue Division: Repeat this process until the quotient becomes zero.

254 ÷ 16 = 15 with a remainder of 14 (E)
15 ÷ 16 = 0 with a remainder of 15 (F)

Write HEX Digits: Write down the remainders obtained from each division in reverse order.

HEX F96B

So, DEC 65123 is equivalent to HEX F96B.

Tips for Easy Conversion

  1. Use Online Tools: While manual conversion is great for understanding, online converters can expedite the process for larger numbers.
  2. Practice Shortcut Methods: For quick conversions, you can memorize common decimal to hexadecimal conversions, especially for values like 16, 256, 4096, etc.
  3. Understand Hexadecimal Patterns: As you practice, you’ll start noticing patterns in hexadecimal representations, making mental calculations faster.

Conclusion

Converting between decimal and hexadecimal is a valuable skill, especially in computer programming and digital electronics. While it may seem challenging initially, with practice, you’ll become more comfortable with the process. Whether you’re a student, a professional in a technical field, or just curious about different number systems, mastering these conversions opens up a world of possibilities. So, next time you encounter a decimal number, try converting it to hexadecimal – it’s a fascinating journey into the realm of number systems!