The problem asks us to find which of the given options is equivalent to 1 Gigabyte. The options are expressed in terms of MB, bits, bytes, and KB.

Applied MathematicsUnits ConversionComputer ScienceData StorageKilobytesMegabytesGigabytesBytesBits
2025/4/20

1. Problem Description

The problem asks us to find which of the given options is equivalent to 1 Gigabyte. The options are expressed in terms of MB, bits, bytes, and KB.

2. Solution Steps

We need to know the relationships between Gigabytes, Megabytes, Kilobytes, Bytes, and bits.
1 Kilobyte (KB) = 1024 Bytes
1 Megabyte (MB) = 1024 KB
1 Gigabyte (GB) = 1024 MB
So, 1 GB = 1024 MB. Option (1) is 1000 MB. Since 1024 is greater than 1000, option (1) is not the correct answer.
Consider Option (2): 1024×10241024 \times 1024 bits
1 Byte = 8 bits
1 KB = 1024 bytes = 1024×81024 \times 8 bits
1 MB = 1024 KB = 1024×1024×81024 \times 1024 \times 8 bits
1 GB = 1024 MB = 1024×1024×1024×81024 \times 1024 \times 1024 \times 8 bits
Option (2) is 1024×10241024 \times 1024 bits which does not equal to 1024×1024×1024×81024 \times 1024 \times 1024 \times 8 bits.
Consider Option (3): 1024×1024×10241024 \times 1024 \times 1024 bytes
1 KB = 1024 bytes
1 MB = 1024 KB = 1024×10241024 \times 1024 bytes
1 GB = 1024 MB = 1024×1024×10241024 \times 1024 \times 1024 bytes
Therefore, 1 GB = 1024×1024×10241024 \times 1024 \times 1024 bytes. This is the correct answer.
Consider Option (4): 1000×10241000 \times 1024 KB
1 MB = 1024 KB
1 GB = 1024 MB = 1024×10241024 \times 1024 KB
Since 1024 x 1024 KB is not equal to 1000 x 1024 KB, Option (4) is not correct.

3. Final Answer

(3) 1024×1024×10241024 \times 1024 \times 1024 bytes

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