Question

1. Determine the place value (weight) of each digit in a five-digit number in base-8 (octal).

Answer 1

Let y be a five-digit octal number,

$\begin{gathered} y=(\text{ijklm)}_8 \\ \text{where ijklm }\in\mleft\lbrace0,1,2,3,4,5,6,7\mright\rbrace \end{gathered}$

Then,

$y=i\cdot8^4+j\cdot8^3+k\cdot8^2+l\cdot8^1+m\cdot8^{0}$

The place value (weight) of i is 8⁴, of j is 8³, of k is 8², of l is 8, and of m is 8⁰.