Answer
a. 110
b. 1101
c. 1011
d. 10010
e. 11011
f. 100
Work Step by Step
a.
Step $1 :$ To convert the base ten representations to its equivalent binary representations, divide the number by 2 until the quotient is zero as shown in the table below:
$\begin{array}{|c|c|c|}\hline \text { remainder } & {\text { divide the number by 2 }} & {\text { number }} \\ \hline 0 & {2} & {6} \\ \hline 1 & {2} & {3} \\ \hline 1 & {2} & {1} \\ \hline & {2} & {0} \\ \hline\end{array}$
Step $2 :$ Therefore, the binary representation is the sequence of the remainder from bottom to the top.
Step $3 :$ (0 * 8) + (1 * 4) + (0 * 2) + (1 * 1) = 0 + 4 + 0 + 1 = 5
Therefore, $(6)_{10}=(110)_{2}$
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to solve [ b, c, d, e, f ] do the previous steps :
b. the solution is: 1101
c. the solution is: 1011
d. the solution is: 10010
e. the solution is: 11011
f. the solution is: 100
