Question

(3A5)16 - (?)10
haxadecimal into decimal
and I wanted the written answer by division ​

Answer 1

$\textsf{While converting from any other number system to decimal (base - 10) number system}\\\textsf{The eqauivalent number can be obtained by the summation of product of the source}\\\textsf{base (here, 16) raised to successive powers from 0 and the digits.}$

$\texttt{Solution - }$

   $\text{Given,}\\\text{\hspace{1em} (3A5)_{16} \:\: \rightarrow \:\:\:\: (?)_{10} }\\\text{\hspace{2em} \therefore \: \: \: ? = (3 \times 16^2) + (A \times 16^1) + (5 \times 16^0) }\\\text{\hspace{2em} \therefore \: \: \: ? = (3 \times 256) + (10 \times 16) + (5 \times 1) }\\\text{\hspace{2em} \therefore \: \: \: ? = 768 + 160 + 5 }\\\text{\hspace{2em} \therefore \: \: \: ? = 933 }\\\\\text{So, (3A5)_{16} \:\: \rightarrow \:\:\:\: (933)_{10} }$