0 votes 0 votes What is the minimum difference between two successive real numbers representable in this system? Digital Logic ieee-representation floating-point-representation digital-logic co-and-architecture + – Balaji Jegan asked Jan 28, 2019 Balaji Jegan 1.4k views answer comment Share Follow See all 9 Comments See all 9 9 Comments reply Shubhgupta commented Jan 28, 2019 i edited by Shubhgupta Jan 28, 2019 reply Follow Share minimum= $2^{-40}$ maximum= $2^{22}$ 0 votes 0 votes Balaji Jegan commented Jan 28, 2019 reply Follow Share Nope. Maximum = 2^22 0 votes 0 votes Balaji Jegan commented Jan 28, 2019 reply Follow Share https://gateoverflow.in/934/gate2003-43 0 votes 0 votes Shubhgupta commented Jan 28, 2019 i edited by Shubhgupta Jan 28, 2019 reply Follow Share ohh sry i wrongly checked i though there are 5 bits in exponent. Now check minimum will be same but i corrected maximum. 0 votes 0 votes soumayan bandhu commented Jan 29, 2019 reply Follow Share @Shubhgupta how minimum is 2^-40? I am getting this 0 votes 0 votes Shubhgupta commented Jan 29, 2019 reply Follow Share First small- $(1+000000000*2^{-9})*2^{0-31}= 1*2^{-31}= 2^{-31}$ Second small- $(1+000000001*2^{-9})*2^{0-31}= 1*2^{-31}+ 1*2^{-9}*2^{-31}= 2^{-31}+2^{-40}$ Difference - $2^{-40}$ If IEEE 754 is mentioned then for minimum we can't take E = 000..0 as E = 0 is reserved for special number. 2 votes 2 votes Balaji Jegan commented Jan 29, 2019 reply Follow Share https://docs.google.com/document/d/1y32_pAsYZ49fJM4Aim_qKjx4pCM-Lb-B9jZTyVDx1vg/edit please check 36th question’s solution in this link 0 votes 0 votes Shubhgupta commented Jan 30, 2019 reply Follow Share there no explicit form is mentioned like in this question. 0 votes 0 votes soumayan bandhu commented Jan 30, 2019 reply Follow Share Correct solution is given 0 votes 0 votes Please log in or register to add a comment.