# #digital

136 views
.binary number  1.11111…………. are give find decimal number
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1.96875
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approximately = 2.00000 @Magma can u elaborate how u got the answer?

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1 + 0.11111

$1+ (1 - 2^{-5} )$

I didn't understand  on thing that  whether the 11111.......goes on  or only there's 5 1's ??
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i think tha would goto infinty....
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then it would be  2 :3
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If it will go to infinity, then ans will be 2.

After decimal part will form an go series with common ratio = 1/2.

1/2 1/4 1/8... uptil infinity.. there sum will be 1
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doesn't anyone think it is floating point number may represent with IEEE 754 format ?
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@shaikh brother it's simple floating point to decimal conversion!
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it simple G.P series of infinite terms

so common ratio=1/2 a=1

sum=2
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@arvin

yes brother, everyone is thinking like that only, even i too... But after that i got that doubt,

yes my doubt is invalid !

due to how a floating number in Binary representation have dot in between ?

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@Shaik Masthan yes I too thought for that for a moment but when I read that carefully it was simple

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