Convert 100 hexadecimal to decimal.
Understand the Problem
The question is asking to convert the hexadecimal number 100 into its decimal representation. This involves understanding the base-16 number system and how to calculate its equivalent in base-10.
Answer
$256$
Answer for screen readers
The decimal representation of the hexadecimal number $100$ is $256$.
Steps to Solve
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Identify the hexadecimal value The given hexadecimal number is $100$.
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Break down the hexadecimal digits In the hexadecimal system, each digit represents a power of 16. The hexadecimal number $100$ can be broken down into:
- $1 \times 16^2$
- $0 \times 16^1$
- $0 \times 16^0$
- Calculate each term Now, we calculate the value of each term:
- For the first term, $1 \times 16^2 = 1 \times 256 = 256$.
- For the second term, $0 \times 16^1 = 0 \times 16 = 0$.
- For the third term, $0 \times 16^0 = 0 \times 1 = 0$.
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Sum the values Now we add up the values calculated from each term: $$ 256 + 0 + 0 = 256 $$
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Final Result Thus, the decimal representation of the hexadecimal number $100$ is $256$.
The decimal representation of the hexadecimal number $100$ is $256$.
More Information
Hexadecimal is a base-16 number system that uses digits 0-9 and letters A-F to represent values. Each digit's position represents a power of 16, which can make conversions to decimal quite interesting and useful in computer science.
Tips
- Confusing the powers of 16: Ensure each digit is multiplied by the correct power of 16 based on its position.
- Incorrectly adding up the terms: Double-check your arithmetic to avoid mistakes in summation.
