[RESOLVED] Question for a Cert Exam

Quote:

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32 bits pattern display is how many times bigger than 24 bits display

a) 8
b) 16
c) 128
d) 256

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so what is the answer and most importantly the reason?

d) 256

Reason:
2^32 = 4294967296
2^24 = 16777216

16777216 * 256 = 4294967296

1 bit = 2 = 2^1
2 bit = 2 x 2 = 2^2
3 bit = 2 x 2 x 2 = 2^3
8 bit = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2^8


So 24 bits is 2 multiplied by its self 24 times 2^24

32 bits is 8 bits more


8 bits is 2^8 which is 256

so you have this

16777216 * x = 4294967296
x = 4294967296 / 16777216
x = 256?

hmmm... we won't be allowed calculators during the exam. :(

Quote:

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Originally Posted by visualAd

1 bit = 2 = 2^1
2 bit = 2 x 2 = 2^2
3 bit = 2 x 2 x 2 = 2^3
8 bit = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2^8


So 24 bits is 2 multiplied by its self 24 times 2^24

32 bits is 8 bits more


8 bits is 2^8 which is 256

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OK this one is shorter! ;) :thumb:

can this question be explained using like this??? using jcis and visualAds ideas.

= 2^32 / 2^24
= 2^ 32-24
= 2^8
= 256?

Yes, when the base is the same and you divide them, powers can be subtracted like you did.