1 votes 1 votes .binary number 1.11111…………. are give find decimal number Digital Logic floating-point-representation + – amit166 asked Jan 12, 2019 amit166 599 views answer comment Share Follow See all 12 Comments See all 12 12 Comments reply Magma commented Jan 12, 2019 reply Follow Share 1.96875 0 votes 0 votes arvin commented Jan 12, 2019 reply Follow Share approximately = 2.00000 @Magma can u elaborate how u got the answer? 0 votes 0 votes Magma commented Jan 12, 2019 reply Follow Share 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 ?? 1 votes 1 votes arvin commented Jan 12, 2019 reply Follow Share i think tha would goto infinty.... 0 votes 0 votes Magma commented Jan 12, 2019 reply Follow Share then it would be 2 :3 0 votes 0 votes Kunal Kadian commented Jan 12, 2019 reply Follow Share 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 1 votes 1 votes Shaik Masthan commented Jan 12, 2019 reply Follow Share doesn't anyone think it is floating point number may represent with IEEE 754 format ? 0 votes 0 votes arvin commented Jan 13, 2019 reply Follow Share @shaikh brother it's simple floating point to decimal conversion! 0 votes 0 votes amit166 commented Jan 13, 2019 reply Follow Share it simple G.P series of infinite terms so common ratio=1/2 a=1 sum=2 0 votes 0 votes Shaik Masthan commented Jan 13, 2019 reply Follow Share @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 ? 0 votes 0 votes arvin commented Jan 13, 2019 reply Follow Share @Shaik Masthan yes I too thought for that for a moment but when I read that carefully it was simple 0 votes 0 votes Santanu Shaw commented Nov 1, 2022 reply Follow Share If the bin no. is 1111111….. ,will the decimal equivalent be 1? 0 votes 0 votes Please log in or register to add a comment.