Question

Question #060f3

Answer 1

It depends on what you define as a gigabyte.

If you use `1024` as the unit conversion factor then:

`8 " GB" = 68color(white)"-"719color(white)"-"476color(white)"-"736 " bits"`

If you use `1000` as the unit conversion factor then:

`8 " GB" = 64color(white)"-"000color(white)"-"000color(white)"-"000 " bits"`

Explanation:

The standard for measuring data is that:

`8 " bits" = 1 " byte"`

However, when we start measuring higher than that, some companies use powers of 2 to measure storage space, and other use powers of 10.

Either:

`2^10 " bytes" = 1024 " bytes" = 1 " kilobyte"`
`2^10 " kilobytes" = 1024 " kilobytes" = 1 " megabyte"`
`2^10 " megabytes" = 1024 " megabytes" = 1 " gigabyte"`

Or:

`1000 " bytes" = 1 " kilobyte"`
`1000 " kilobytes" = 1 " megabyte"`
`1000 " megabytes" = 1 " gigabyte"`

I would look at the problem to see if there's any guidelines that tell you what unit conversion it wants you to use. In this solution, I'll use both and show both answers.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Assuming that we're using the `1024` conversions:

`8 " GB" xx (1024 " MB")/"GB" xx (1024 " KB")/"MB" xx (1024 " B")/"KB" xx (8 " b")/"B"`

`= 8 cancel" GB" xx (1024 cancel" MB")/cancel"GB" xx (1024 cancel" KB")/cancel"MB" xx (1024 cancel" B")/cancel"KB" xx (8 " b")/cancel"B"`

`= 8 xx 1024 xx 1024 xx 1024 xx 8 " bits" = 68color(white)"-"719color(white)"-"476color(white)"-"736 " bits"`

Assuming that we're using the `1000` conversions:

`8 " GB" xx (1000 " MB")/"GB" xx (1000 " KB")/"MB" xx (1000 " B")/"KB" xx (8 " b")/"B"`

`= 8 cancel" GB" xx (1000 cancel" MB")/cancel"GB" xx (1000 cancel" KB")/cancel"MB" xx (1000 cancel" B")/cancel"KB" xx (8 " b")/cancel"B"`

`= 8 xx 1000 xx 1000 xx 1000 xx 8 " bits"`
`= 64color(white)"-"000color(white)"-"000color(white)"-"000 " bits"`

So there's both answers, depending on how you want to define a kilobyte and higher units. Again, I would look at the book to determine which one of these you should use.