How To Convert Hexadecimal to Decimal

TL;DR

Learn how to convert hexadecimal numbers to decimal numbers by understanding their relationship and using the power of 16.

Transcript

in this video we're gonna focus on converting a hexadecimal number into a decimal number the decimal number system is a base 10 system and the hexadecimal number is a base 16 number hacks EV represents six decimal is ten so 6 plus 10 is 16 but how can we convert a hexadecimal number into a decimal number before we can do that we need to know the re... Read More

Key Insights

• ⚾ The decimal number system is base 10, while the hexadecimal system is base 16.
• 🧡 Hexadecimal digits range from 0 to F, corresponding to decimal digits from 0 to 15.
• ✊ Converting hexadecimal numbers to decimal involves multiplying each digit by the corresponding power of 16 and summing the results.
• ✋ The highest digit in the hexadecimal system is F, which corresponds to 15 in decimal.
• ✊ Fractional hexadecimal numbers require negative powers of 16 in the conversion to decimal.
• ✖️ The conversion process involves both multiplication and addition of the digit values.
• #️⃣ Hexadecimal numbers can be converted to decimal using the powers of 16 method for any number of digits.

Questions & Answers

Q: What is the relationship between decimal numbers and hexadecimal numbers?

In the decimal system, each digit corresponds to its value from 0 to 9. In the hexadecimal system, the digits from 0 to 9 are the same, and A represents 10, B represents 11, and so on.

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

Each digit in the hexadecimal number is multiplied by the corresponding power of 16, starting from 0. The results are then added together to get the decimal value.

Q: Can you convert the hexadecimal number 23E to decimal?

Yes. 2 times (16 raised to the power of 2) plus 3 times (16 raised to the power of 1) plus 14 times (16 raised to the power of 0) equals 574.

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

For fractional hexadecimal numbers, the digits to the right of the decimal point have negative powers of 16. Each digit is divided by the corresponding negative power of 16, and the results are added together.

Summary & Key Takeaways

• The decimal number system is base 10, while the hexadecimal system is base 16.

• To convert a hexadecimal number to decimal, each digit is multiplied by the corresponding power of 16, and the results are added together.

• The highest digit in the hexadecimal system is F, which corresponds to 15 in decimal.