13 votes 13 votes Which of the given number has its $\text{IEEE - 754}$ $32$-bit floating point representation as $\text{(0 10000000 110 0000 0000 0000 0000 0000)}$ $2.5$ $3.0$ $3.5$ $4.5$ Digital Logic isro2015 digital-logic number-representation floating-point-representation ieee-representation + – go_editor asked Jun 15, 2016 edited Jun 9, 2020 by Sabiha banu go_editor 4.9k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 23 votes 23 votes E=128 SINCE E != O.THEN IT IS NORMALIZED REPRESENTATION as per IEEE-754. SO VALUE REPRESENTATION=(-1)^s(1.M)2^(E-127) =(1.110..)2^(128-127) =(1+0.5+0.25)*2 =(1.75)*2=3.5 ans=c asu answered Jun 15, 2016 selected Jun 20, 2016 by Arjun asu comment Share Follow See 1 comment See all 1 1 comment reply Tauhin Gangwar commented Jun 15, 2016 reply Follow Share correct 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes 3.5 seems to be correct as 1.75 * 2 = 3.5 sanjeet kumar 1 answered Dec 15, 2017 sanjeet kumar 1 comment Share Follow See all 0 reply Please log in or register to add a comment.