Question

Convert (654)10 to hexadecimal number system​

Answer 1

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

• The hexadecimal equivalent of the given decimal number (654)₁₀ is (28E)₁₆

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

Conversion is given as follows:

$\boxed{\begin{array}{c|c|c}\sf16&\sf654&\\ \sf16&\sf40&\sf E\\ \sf16&\sf2&\sf8\\ &\sf0&\sf2\end{array}}$

Now arrange the remainders obtained from bottom to top:

→ (654)₁₀ = (28E)₁₆  (Answer)

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

1. Divide the number by 16.
2. Write the quotient and remainders obtained. if the remainder is between 9 and 16, replace them with letters from A-F respectively.
3. Repeat the above two process until the quotient becomes 0.
4. Now write the remainders obtained from bottom to top.
5. Result obtained will be the hexadecimal equivalent of the given decimal number.