Math Problem Statement

9000000000 b = ? GB

Solution

To convert bytes (bb) to gigabytes (GBGB), you use the following formula:

1 GB=1,073,741,824 bytes(based on binary system)1 \text{ GB} = 1,073,741,824 \text{ bytes} \quad (\text{based on binary system})

Calculation:

Value in GB=Value in bytes1,073,741,824\text{Value in GB} = \frac{\text{Value in bytes}}{1,073,741,824}

Value in GB=9,000,000,0001,073,741,8248.38 GB\text{Value in GB} = \frac{9,000,000,000}{1,073,741,824} \approx 8.38 \text{ GB}

Final Answer:

9,000,000,000b8.38GB9,000,000,000 \, b \approx 8.38 \, \text{GB}

Would you like a step-by-step breakdown of the calculation or have any questions?


Related Questions:

  1. How is the binary system different from the decimal system in storage units?
  2. What is the difference between GiB and GB?
  3. How do you convert bytes to other units like MB, KB, or TB?
  4. Why is 1 GB = 1,073,741,8241,073,741,824 bytes and not exactly 1,000,000,0001,000,000,000?
  5. What are the common uses for storing data in GB versus bytes?

Tip:

Always check whether a problem uses binary (base-2) or decimal (base-10) definitions for units, as they differ!

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Math Problem Analysis

Mathematical Concepts

Unit Conversion
Binary Number System
Data Storage Units

Formulas

Value in GB = Value in bytes / 1,073,741,824

Theorems

Binary system-based conversion of data storage units

Suitable Grade Level

Grades 6-8