Suppose that a system uses 32-bit memory words and its memory is built from 16 1M × 16 RAM chips. How large, in words, is the memory on this system?

Memory of the system is .

Explanation:

Computer programs are usually written in Byte. That is to say we expressing our megabyte in byte.

NOTE :  1 Megabyte  (MB)  = in Byte

Mathematically written as  :   1 MB=

                                                16 MB=X

Cross multiplying the above to make X the subject of the formula.

               X =  ………………i

Converting 16 to factor of two

We having  = 16 =  

Therefore equation I becomes =  x =  

          Applying multiplication law of indices

               X =  = + =  ……………………………..ii

To convert  equation ii to the number of words we divide by 2

Therefore number of words :  

applying the law of indices ÷  =

Number of words is equal to = =

Thank you.