6 votes 6 votes A particular number is written as $132$ in radix-$4$ representation. The same number in radix-$5$ representation is _____________. Digital Logic gatecse-2023 digital-logic number-representation numerical-answers 1-mark + – admin asked Feb 15, 2023 • edited Mar 19, 2023 by Lakshman Bhaiya admin 12.5k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 13 votes 13 votes $\left(132\right)_{4}$ = $(1*4^2 + 3*4^1 + 2*4^0)_{10}$ = $\left(30\right)_{10}$ = $\left(25 + 5 + 0\right)_{10}$ [powers of 5] = $(1*5^2 + 1*5^1 + 0*5^0)_{10}$ = $\left(110\right)_{5}$ Answer is 110. akshaw answered Feb 15, 2023 • selected Feb 15, 2023 by Shaik Masthan akshaw comment Share Follow See all 0 reply Please log in or register to add a comment.
13 votes 13 votes Firstly convert the base $4$ into decimal number system (Base $10$): $(132)_4=(z)_{10} \implies 2*4^0+3*4^1+1*4^2=(30)_{10}$ Now convert $(30)_{10}$ into base $5$,dividing by $5$ we get: $(30)_{10}=(x)_5$ $\therefore (x)_5=(110)_5$ Hira Thakur answered Feb 6, 2023 • edited Feb 7, 2023 by Hira Thakur Hira Thakur comment Share Follow See all 0 reply Please log in or register to add a comment.