4 votes 4 votes A computer uses ternary system instead of the traditional systen, An $n$ bit string in the binary system will occupy $3+n$ ternary digits $2n/3$ ternary digits $n$$\log_{2}3$ ternary digits $n$$\log_{3}2$ ternary digits Digital Logic isro2018 digital-logic number-representation + – Arjun asked Apr 22, 2018 • recategorized Dec 4, 2022 by Lakshman Bhaiya Arjun 4.3k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 11 votes 11 votes Let the no. of digits occupied by the ternary system be 'x' Now,Maxi. value representable in ternary system using x digits = Maxi. value representable in binary system using n digits 3x-1=2n-1 x=log32n = n log32 (d) VS answered Apr 24, 2018 • selected Apr 24, 2018 by ManojK VS comment Share Follow See all 0 reply Please log in or register to add a comment.
18 votes 18 votes Maximum No. possible using n-bit in Binary:- 2n -1 Maximum no. possible using x bit in Ternary:- 3x -1 Both will take different no. of bits to represent same number. 3x -1 = 2n -1 3x = 2n taking log on both side:;- X= log3 ( 2n ) X=n*log32 . sonveer tomar 1 answered Apr 22, 2018 sonveer tomar 1 comment Share Follow See all 5 Comments See all 5 5 Comments reply Show 2 previous comments Devshree Dubey commented Apr 22, 2018 reply Follow Share @Sonveer tomar 1,Thank you so much for the explanation. :) 0 votes 0 votes sim1234 commented Dec 2, 2018 reply Follow Share can you please elaborate, what question want to ask??? 0 votes 0 votes utpal podder commented Feb 11, 2019 reply Follow Share the problem is simply trying to ask---> given an n-bit binary number howmany digits that that it would be required to represent that number in ternary number system....so here we try to find howmany number of digits in ternary number system that will be required to represent the maximum valued n-bit binary number...... so,let x digits required in ternary number system to represent the maximum valued n-bit binary number which is (2^n-1)(in decimal)....and maximum valued decimal number with x digit in ternary number system will be (3^x-1)... so ,(2^n-1)<=(3^x-1) => 2^n<=3^x => x>=nlog2base3 2 votes 2 votes Please log in or register to add a comment.
3 votes 3 votes D is correct Vikas Yadav 1 answered Apr 22, 2018 Vikas Yadav 1 comment Share Follow See all 0 reply Please log in or register to add a comment.