Answer:
Memory of the system is [tex]2^{23}[/tex] .
Explanation:
Computer programs are usually written in Byte. That is to say we expressing our megabyte in byte.
NOTE : 1 Megabyte (MB) = [tex]2^{20}[/tex] in Byte
Mathematically written as : 1 MB=[tex]2^{20}[/tex]
16 MB=X
Cross multiplying the above to make X the subject of the formula.
X = [tex]\frac{16 x 2^{20} }{1}[/tex] ………………i
Converting 16 to factor of two
We having = 16 = [tex]2^{4}[/tex]
Therefore equation I becomes = x = [tex]\frac{2^{4} x 2^{20} }{1}[/tex]
Applying multiplication law of indices
X = =[tex]2^{4}[/tex] + [tex]2^{20}[/tex] =[tex]2^{24}[/tex] ……………………………..ii
To convert equation ii to the number of words we divide by 2
Therefore number of words : [tex]\frac{2^{24} }{2}[/tex]
applying the law of indices [tex]x^{a}[/tex] ÷ [tex]x^{b}[/tex] = [tex]x^{a-b}[/tex]
Number of words is equal to =[tex]2^{24-1}[/tex] = [tex]2^{23}[/tex]
Thank you.
