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A byte is a unit used to measure computer memory. Other units are based on the number of bytes they represent. The table shows the number of bytes in certain units. For example, from the table you can calculate that 1 terabyte is equivalent to 2^10 gigabytes.

Part A: ​ How many kilobytes are there in 1 terabyte? The final answer should be left in exponential form.

Part B: How many megabytes are there in 1 petabyte? The final answer should be left in exponential form.

Part C: Another unit used to measure computer memory is a bit. There are 8 bits in a byte. Explain how you can convert the number of bytes per unit to the number of bits per unit.

## 1 Answer

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- A) $$2^{30}$$ kilobytes
- B) $$2^{30}$$ megabytes
- C) In order to convert the number of bytes per unit to the number of bits per unit you need to multiply the number of bytes by 8.

Step-by-step explanation:

Part A: ​ How many kilobytes are there in 1 terabyte? The final answer should be left in exponential form.

1 terabyte = $$2^{40}$$ bytes

1 kilobytes = $$2^{10}$$ bytes

⇒ 1 terabyte = $$2^{40} / 2^{10} = 2^{30}$$ kilobytes

Part B: How many megabytes are there in 1 petabyte? The final answer should be left in exponential form.

1 megabyte = $$2^{20}$$ bytes

1 petabyte = $$2^{50}$$ bytes

⇒ 1 petabyte = $$2^{50}/2^{20}=2^{30}$$ megabytes

Part C: Another unit used to measure computer memory is a bit. There are 8 bits in a byte. Explain how you can convert the number of bytes per unit to the number of bits per unit.

In order to convert the number of bytes per unit to the number of bits per unit you need to multiply the number of bytes by 8.

1 byte = 8 bits

2 bytes = 2*8 bits = 16 bits

3 bytes = 3*8 bits = 24 bits

etc.
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