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write each answer as a power of 2. show your work and explain your steps.

a. computer capacity is often measured in bits and bytes. a bit is the smallest unit, which is 1 or 0, in the computer's memory. a bytes is 2^3 bits. a megabyte (mb) is 2^20 bytes. how many bits are in a megabytes?

b. a gigabyte (gb) is 2^30 bytes. how many megabytes are in a gigabytes? how many bits are in a gigabytes?

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1 Answer

a. computer capacity is often measured in bits and bytes. a bit is the smallest unit, which is 1 or 0, in the computer's memory. a bytes is 2^3 bits. a megabyte (mb) is 2^20 bytes. how many bits are in a megabytes?

2^20 * 2^3 = 2^(20+3) = 2^23

b. a gigabyte (gb) is 2^30 bytes. how many megabytes are in a gigabytes?

2^30/2^20 = 2^30 * 2^-20 = 2^(30-20) = 2^10

how many bits are in a gigabytes?

2^30 * 2^3 = 2^(30+3) = 2^33