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The health monitor of a smartwatch stores 6 mib of data. construct an expression to show how many bits are in 6 mib.

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Final answer:

To calculate the number of bits in 6 MiB, multiply 6 by 2^20 to convert to bytes, and then multiply by 8 to convert to bits, which equals 50,331,648 bits in total.

Step-by-step explanation:

The question asks to construct an expression to show how many bits are in 6 Mebibytes (MiB). To calculate this, you must know that one Mebibyte is equal to 220 bytes or 1,048,576 bytes. Each byte consists of 8 bits. Therefore, to find out how many bits are in 6 MiB, you can use the following expression:

6 MiB × 220 bytes/MiB × 8 bits/byte

First, convert the Mebibytes to bytes:

  • 6 MiB × 1,048,576 bytes/MiB = 6,291,456 bytes

Then convert the bytes to bits:

  • 6,291,456 bytes × 8 bits/byte = 50,331,648 bits

The conversion factor for converting from Mebibits (Mib) to Megabits (Mb) is 8. Therefore, to convert 6 MiB to bits, you would multiply 6 by 1024 (to convert from MiB to kibibits) and then multiply that result by 8 (to convert from kibibits to bits).

So the expression would be: 6 MiB * 1024 kibibits/MiB * 8 bits/kibibit = 49,152 bits.

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