Convert hex 20 to decimal.
Understand the Problem
The question is asking to convert the hexadecimal number 20 to its decimal equivalent. The approach involves understanding the base of the number system and calculating the value accordingly.
Answer
The decimal equivalent of the hexadecimal number 20 is $32$.
Answer for screen readers
The decimal equivalent of the hexadecimal number 20 is $32$.
Steps to Solve
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Understand Hexadecimal Base Hexadecimal is a base-16 numbering system that includes digits from 0 to 9 and letters A to F. Each digit represents a power of 16.
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Break Down the Hexadecimal Number The hexadecimal number is 20. We break it down into its individual digits:
- The digit '2' is in the 16^1 place (which equals 16).
- The digit '0' is in the 16^0 place (which equals 1).
- Calculate Decimal Values Now calculate the value of each digit:
- For the digit '2': $$ 2 \times 16^1 = 2 \times 16 = 32 $$
- For the digit '0': $$ 0 \times 16^0 = 0 \times 1 = 0 $$
- Add the Decimal Values Together Now, add the results from the previous step: $$ 32 + 0 = 32 $$
The decimal equivalent of the hexadecimal number 20 is $32$.
More Information
Hexadecimal is commonly used in computing and digital electronics because it can represent large binary numbers in a more compact form. Each hexadecimal digit corresponds to four binary digits (bits), making it easier to read and write.
Tips
- Confusing the bases: Some might mistakenly convert hexadecimal directly to decimal without considering that it is base-16. Always remember to convert using the powers of 16.
- Incorrectly adding powers: Ensure the powers are applied correctly to each digit based on their position.
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