Question

A certain CD-ROM disk can store approximately 6.0 × 102 megabytes of information, where 106 bytes = 1 megabyte. If an average word requires 14 bytes of storage, how many words can be stored on one disk?

A. 4.3 × 107 words
B. 2.1 × 107 words
C. 8.4 × 109 words
D. 2.0 × 109 words

Answer 1

Answer: A.
`4.3*10^7`

Explanation:

Given : A certain CD-ROM disk can store approximately
`6.0 * 10^2` megabytes of information.

1 megabyte =
`10^6` bytes

Then, The storage capacity of CD-ROM disk will be :

`10^6* 6.0 * 10^2=6*10^(6+2)=6*10^8`

If an average word requires 14 bytes of storage, then the number of words can be stored :-

`(6*10^8)/(14)=0.428571428571*10^8\approx0.43*10^8=4.3*10^7`

Hence, number of words can be stored =
`4.3*10^7`