The photo-sharing site Flickr had 6 billion images in August 2011. Assuming each picture is about 2 megabytes in size, compare the amount of data at Flickr to the data stored on an 8GB flash drive. How many flash drives are needed to store all the images

Respuesta :

Step-by-step explanation:

now, are we doing the formal informatical calculation, where we are always going with powers of 2, or with the cheating (by the manufacturers of flash drives) approach ?

regularly we go with 2¹⁰ = 1024 :

1 KB = 1024 Bytes

1 MB = 1024 KB

1 GB = 1024 MB

1 TB = 1024 GB

...

the manufacturer cheating method is based on 1000 particularly in the higher dimensions :

1 GB = 1000 MB

1 TB = 1000 GB

...

so, when we use the mathematically correct approach, we have

8 GB = 8×1024 MB = 4×1024 = 4096 units of 2 MB.

that means that such a flash drive can store 4096 pictures.

when using the cheating approach, we have

8 GB = 8×1000 MB = 4×1000 = 4000 units of 2 MB.

the flash drive can store 4000 pictures.

6 billion pictures would then need

6,000,000,000 / 4096 = 1,464,843.75 = 1,464,844

flash drives.

or

6,000,000,000 / 4000 = 1,500,000

flash drives.

as you can see, the difference is not so small, when we are talking in big numbers.

as the manufacturers all cheat in that regard, I recommend the answer with the 1,500,000 flash drives.