Question 2 - Sample Paper 2 by Teachoo - Teachoo Sample Paper

What is the value of 1 GB in terms of MB using binary notation?

A) 1000 MB

B) 1024 MB

C) 1000000 MB

D) 1048576 MB

Answer:

Answer by student

B) 1024 MB

Detailed answer by teachoo

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• A megabyte (MB) is a unit of memory that can store 10^6 bytes or 2^20 bytes of data.
• A gigabyte (GB) is a large unit of memory that can store 10^9 bytes or 2^30 bytes of data.
• To convert from gigabytes to megabytes, we need to divide by either 10^3 or 2^10, depending on whether we are using decimal or binary notation.
• Decimal notation is based on powers of 10, while binary notation is based on powers of 2. Computers use binary notation to store and process data, while humans use decimal notation to read and write data.
• Therefore, the correct conversion factor is 2^10.
• Let’s look at each option and see why they are correct or incorrect.

A) 1000 MB

• This option is incorrect because it uses decimal notation instead of binary notation. It would be correct if we were converting from gigabytes to megabytes using powers of 10, but we are not.

B) 1024 MB

• This option is correct because it uses binary notation and matches the conversion factor. It divides by 2^10 to convert from gigabytes to megabytes using powers of 2. This is the correct way to convert from gigabytes to megabytes using binary notation.

C) 1000000 MB

• This option is incorrect because it does not account for the difference in magnitude between gigabytes and megabytes. It would be correct if we were converting from bytes to megabytes using powers of 10, but we are not.

D) 1048576 MB

• This option is incorrect because it does not account for the difference in magnitude between gigabytes and megabytes. It would be correct if we were converting from bytes to megabytes using powers of 2, but we are not.

So, the correct answer is B) 1024 MB.

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