ISRO2015-1

Question

Which of the given number has its $\text{IEEE - 754}$ $32$-bit floating point representation as $\text{(0 10000000 110 0000 0000 0000 0000 0000)}$

• A. $2.5$
• B. $3.0$
• C. $3.5$
• D. $4.5$

Answer 1

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

Comments

correct

Answer 2

3.5 seems to be correct as 1.75 * 2 = 3.5