Convert 16 hexadecimal to decimal.
Understand the Problem
The question is asking for the conversion of the hexadecimal number 16 to its decimal equivalent. This involves understanding the base-16 numbering system and how to convert it to base-10.
Answer
22
Answer for screen readers
The decimal equivalent of the hexadecimal number 16 is 22.
Steps to Solve
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Identify the hexadecimal number First, note that the hexadecimal number provided is 16. In hexadecimal, the digits can include 0-9 and A-F, where A represents 10, B is 11, C is 12, D is 13, E is 14, and F is 15. The number '16' in hex actually represents 1 * 16^1 + 6 * 16^0.
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Break down the conversion To convert hexadecimal 16 to decimal, we calculate each digit's contribution:
- The first digit is 1 (which is in the 16^1 place).
- The second digit is 6 (which is in the 16^0 place).
Now we evaluate:
- $1 \cdot 16^1 = 16$
- $6 \cdot 16^0 = 6$
- Sum the contributions Add the contributions together: $$ 16 + 6 = 22 $$
Thus, the decimal equivalent of the hexadecimal number 16 is 22.
The decimal equivalent of the hexadecimal number 16 is 22.
More Information
Hexadecimal is a base-16 number system commonly used in computer science. Each digit represents a power of 16, making it efficient for representing large binary numbers. The conversion process involves multiplying each digit by its corresponding power of 16 and summing the results.
Tips
- Misinterpreting '16' in hexadecimal as simply 16 in decimal without considering the base system.
- Forgetting to account for the powers of 16 when calculating contributions from each digit.
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