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If one megabyte is equal to 2 raised to 20 bytes of computer data storage, then 2048 terabytes is equal to how many bits of data storage?

A2 raised to 51
B2 raised to 44
C2 raised to 54 ✓ Correct
D2 raised to 57
Correct answer: (C) 2 raised to 54
Explanation

Since 2048 terabytes equals 2 raised to 51 bytes, multiplying by 8 bits per byte gives 2 raised to 54 bits.

The figure 2 raised to 51 counts bytes, not bits, so it stops one step short.

The figure 2 raised to 44 is far too small for this capacity.

The figure 2 raised to 57 overshoots the correct power by three.

Here 2048 is 2 raised to 11 and one terabyte is 2 raised to 40 bytes, giving 2 raised to 51 bytes.

Multiplying bytes by 8, which is 2 raised to 3, adds three to the exponent to reach 2 raised to 54.

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