1 1 vote The number of bits (in binary) required to represent 25-digit decimal number CO & Architecture digital-logic + – David 15.2k views answer comment Share Follow Print See 1 comment 1 1 comment reply Ram Swaroop commented Jan 4, 2020 reply Follow flag 84 digit 0 0 replyShare Please log in or register to add a comment.
Best answer 5 5 votes The concept is the maximum number of 10 digit number by 10 digit should be equal to x digit number in base 2. so $10^{25}$-1 = $2^x$-1 taking log both side . take log of base 2 so that RHS can become x 25log10 base 2 = x. x=82.5 .so to represent we will need 83 digits. Tendua answered Oct 23, 2015 Tendua comment Share Follow See 1 comment 1 1 comment reply commenter commenter commented Sep 20, 2019 reply Follow flag Isn't 25log10base2 = 83.05? So answer is 84. 0 0 replyShare Please log in or register to add a comment.
