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# In a digital computer, a bit is one of the integers {0,1},

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SVP
Joined: 16 Oct 2003
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In a digital computer, a bit is one of the integers {0,1}, [#permalink]  05 Nov 2003, 13:18
In a digital computer, a bit is one of the integers {0,1}, and a word is any
string of 32 bits. How many different words are possible?
CEO
Joined: 15 Aug 2003
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Kudos [?]: 719 [0], given: 781

stolyar wrote:
agree

i am very rusty ...doing this after a long time

could you explain , stolyar

praetorian
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Joined: 11 Nov 2003
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Location: Illinois
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Kudos [?]: 0 [0], given: 0

praetorian123 wrote:
stolyar wrote:
agree

i am very rusty ...doing this after a long time

could you explain , stolyar

praetorian

Consider there are 2 bits. Find out the total combinations of 0 and 1 to fill the two bits. They are 00, 01, 10, 11 = 2^2

For 3 bits = 000, 001, 010, 100, 111, 110, 100, 101 = 2^3

I general, there are 2 possible oucomes for each bit. So the total possible outcomes for 32 bits = 2^32. Same as total combination of results possible for a fair coin tossed 32 times.
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