2 votes 2 votes If the decimal number is 3.248 x 104 ,then its equivalent floating number in IEEE 754 standard is ? Digital Logic floating-point-representation ieee-representation number-representation co-and-architecture digital-logic + – Hitoshi asked Dec 19, 2017 Hitoshi 4.9k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 12 votes 12 votes Number is 3.248 * 104 = 32480 its binary equivalent is 111111011100000 = 1.11111011100000 * 214 Hence in ieee single precision => excess 127 = 127 + 14 = 141 Hence exponent = 10001101 0 10001101 11111011100000000000000 Ashwin Kulkarni answered Dec 19, 2017 • selected Dec 19, 2017 by Hitoshi Ashwin Kulkarni comment Share Follow See all 4 Comments See all 4 4 Comments reply Nehapa commented Aug 10, 2018 reply Follow Share I am unable to understand your explanation of answer can you explain in detail?? My binary value of 32480 is coming 111001100000 0 votes 0 votes Sanjay Sharma commented Aug 23, 2019 reply Follow Share Nehapa perhaps u r converting 3248 0 votes 0 votes stevegates commented Jul 19, 2020 reply Follow Share Binay equivalent of 32840 is$=1000000001001000$ and not the one given in the selected answer. 0 votes 0 votes ramcharantej_24 commented Nov 2, 2020 reply Follow Share it will be 2^15 at the exponent 0 votes 0 votes Please log in or register to add a comment.