1 votes 1 votes A decimal has $25$ digits. The number of bits needed for its equivalent binary representation is approximately $50$ $74$ $40$ $60$ Digital Logic nielit2017oct-assistanta-it digital-logic number-system + – admin asked Apr 1, 2020 reopened Jun 25, 2022 by Lakshman Bhaiya admin 744 views answer comment Share Follow See 1 comment See all 1 1 comment reply Lakshman Bhaiya commented Jun 25, 2022 reply Follow Share https://gateoverflow.in/336919/Nielit-2017-oct-scientific-assistant-a-cs-section-b-1 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes Maximum 25 digit decimal number = $10^{25} – 1$ Maximum x bit binary number = $2^x – 1$ $10^{25} – 1 = 2^x – 1$ taking log $log 10^{25} = x$ $x = 25 log 10$ $x = 25 * 3.3$ $x = 82.5 $(approximately 83) So none of these are correct. Ref: https://www.geeksforgeeks.org/isro-isro-cs-2015-question-77/ smsubham answered Apr 2, 2020 smsubham comment Share Follow See all 0 reply Please log in or register to add a comment.