Question

Suppose you have a tablet with a capacity of 16 gigabytes. For a book containing only plain , 1 byte typically corresponds to one character and an average page contains 2000 characters. Assume all 16 gigabytes are used to hold plain- books.

a. How many pages of can the tablet hold?
b. How many 500-page books can the tablet hold?

Answer 1

To calculate how many pages the tablet can hold, we need to convert the storage capacity from gigabytes to bytes and divide by the number of bytes per page. The tablet can hold approximately 8,388,608 pages. The tablet can hold approximately 33,554 books, each containing 500 pages.

Step-by-step explanation:

To calculate how many pages the tablet can hold, we first need to convert the tablet's storage capacity from gigabytes to bytes. Since 1 gigabyte is equal to 1024 megabytes, and 1 megabyte is equal to 1024 kilobytes, and 1 kilobyte is equal to 1024 bytes, we can calculate:

16 gigabytes = 16 * 1024 * 1024 * 1024 bytes

Next, we divide the total number of bytes by the number of bytes per page. Since 1 byte corresponds to one character and an average page contains 2000 characters, we can calculate:

Number of pages = (16 * 1024 * 1024 * 1024) / 2000

For the second part of the question, we divide the total number of pages by the number of pages per book:

Number of 500-page books = (16 * 1024 * 1024 * 1024) / 500