Question

(2307)10 = (?)8

pls give me step by step calculation ​

Answer 1

$\textsf{\large{\underline{Answer}:}}$

• The octal equivalent of the decimal number (2307)₁₀ is (4403)₈

$\textsf{\large{\underline{Solution}:}}$

Conversion is given as follows:

$\boxed{\begin{array}{c|c|c}\rm8&\rm2307&\\ \rm8&\rm288&\rm3\\ \rm8&\rm36&\rm0\\ \rm8&\rm4&\rm4\\ &\rm0&\rm4\end{array}}$

Now arrange the remainders obtained from bottom to top:

> (2307)₁₀ = (4403)₈  (Answer)

$\textsf{\large{\underline{Steps To Solve}:}}$

1. Divide the number by 8.
2. Write the quotient and remainder and again divide the number by 8.
3. Repeat the above two processes until the quotient becomes 0.
4. Now arrange the remainders obtained from bottom to top.
5. Result obtained will be the octal equivalent of the given decimal number.