Converting Hexadecimal Numbers to Decimal

TLDRLearn how to convert hexadecimal numbers to their decimal equivalents through a step-by-step process. Discover the difference between heximal and decimal numbers and the base counting systems they use.

Key insights

💡Heximal numbers and decimal numbers use different base counting systems.

🔢Decimal numbers use a base of 10, while heximal numbers use a base of 16.

To convert a heximal number to its decimal equivalent, multiply each digit by the respective power of 16 and add them together.

📝In the decimal counting system, the digits range from 0 to 9, while in the heximal counting system, the digits range from 0 to 9 and A to F.

By understanding the base counting systems and following the conversion process, you can easily convert heximal numbers to decimal.

Q&A

What's the difference between heximal and decimal numbers?

Heximal numbers use a base of 16, while decimal numbers use a base of 10.

How do you convert a heximal number to decimal?

To convert a heximal number to decimal, multiply each digit by the respective power of 16 and add them together.

What are the digit ranges for decimal and heximal numbers?

In decimal, the digits range from 0 to 9. In heximal, the digits range from 0 to 9 and A to F.

What's an example of converting a heximal number to decimal?

For example, the heximal number 32A is equivalent to the decimal number 810.

Why is understanding heximal to decimal conversion important?

Understanding heximal to decimal conversion allows you to work with different numbering systems and perform accurate calculations.

Timestamped Summary

00:00In this video, we'll learn how to convert hexadecimal numbers to their decimal equivalents.

02:12Heximal and decimal numbers use different base counting systems, with decimal using a base of 10 and heximal using a base of 16.

04:55To convert a heximal number to its decimal equivalent, you multiply each digit by the respective power of 16 and add them together.

08:50In the decimal counting system, digits range from 0 to 9, while in the heximal counting system, digits range from 0 to 9 and A to F.

12:04By following the conversion process and understanding the base counting systems, you can easily convert heximal numbers to decimal.