How to Convert Decimals to Hexadecimal | Summary and Q&A

TL;DR

Learn how to convert decimal numbers to hexadecimal numbers, which use a base 16 numbering system.

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.

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

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.