How to Convert Decimal Numbers to Hexadecimal

TL;DR

Convert decimal numbers to hexadecimal by repeatedly dividing the decimal by 16 and noting the remainders. The hexadecimal system uses 16 digits, ranging from 0 to 9 and A to F, offering a broader range compared to decimal's 10 digits. This method allows for efficient conversion between these two numbering systems.

Transcript

good day welcome to techmath channel I'm Josh today we're going to look at how to convert a decimal number across to a heximal number so let's go through and do this now first off what is the difference between a decimal number and a hexadecimal number well the hints in the name and they're the different Base number counting systems that we're usin... Read More

Key Insights

• 😒 Decimal numbers use a base 10 system, while hexadecimal numbers use a base 16 system.
• 🥘 Hexadecimal numbers have 16 digits (0-9 and A-F), allowing for a greater range of values compared to decimal numbers.
• #️⃣ Converting a decimal number to a hexadecimal number involves repeatedly dividing by 16 and recording the remainders.
• ❓ The remainders correspond to the hexadecimal digits used in the final conversion.
• #️⃣ Checking the accuracy of the conversion can be done by converting the hexadecimal number back to decimal and comparing it to the original decimal number.
• 🎭 Memorizing the hexadecimal digits can help in performing conversions more efficiently.

Questions & Answers

Q: What is the difference between a decimal number and a hexadecimal number?

Decimal numbers use a base 10 system with 10 digits (0-9), while hexadecimal numbers use a base 16 system with 16 digits (0-9 and A-F).

Q: How do you convert a decimal number to a hexadecimal number?

To convert a decimal number to a hexadecimal number, divide the decimal number by 16 repeatedly and record the remainders, which correspond to the hexadecimal digits.

Q: What are the digits used in hexadecimal numbers?

Hexadecimal digits include the numbers 0-9 and the letters A-F, with A representing 10, B representing 11, and so on.

Q: How can you tell if you've converted a decimal number to a hexadecimal number correctly?

To verify the accuracy of the conversion, you can convert the hexadecimal number back to decimal and check if it matches the original decimal number.

Summary & Key Takeaways

• Decimal numbers use a base 10 numbering system, while hexadecimal numbers use a base 16 numbering system.

• Decimal numbers have 10 digits (0-9), while hexadecimal numbers have 16 digits (0-9 and A-F).

• To convert a decimal number to a hexadecimal number, divide the decimal number by 16 and record the remainders.