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

  1. Identify the hexadecimal value The given hexadecimal number is $100$.

  2. 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:

  • $1 \times 16^2$
  • $0 \times 16^1$
  • $0 \times 16^0$
  1. 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, $0 \times 16^0 = 0 \times 1 = 0$.
  1. Sum the values Now we add up the values calculated from each term: $$ 256 + 0 + 0 = 256 $$

  2. 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.

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