Answer
\begin{equation}
\begin{array}{l}{\text { To answer this question, you must represent the decimal value as a sum }} \\ {\text { of powers of } 2 \text { and then convert that representation to binary. }} \\ {99=64+32+2+1} \\ {\quad=2^{6}+2^{5}+2^{1}+2^{0}} \\ {\quad=1100011} \\ {\text { However, this is only } 7 \text { bits and we need } 8, \text { so we must add one leading }} \\ {\text { 0 to fill out the answer. }} \\ {\qquad=01100011}\end{array}
\end{equation}
Work Step by Step
\begin{equation}
\begin{array}{l}{\text { To answer this question, you must represent the decimal value as a sum }} \\ {\text { of powers of } 2 \text { and then convert that representation to binary. }} \\ {99=64+32+2+1} \\ {\quad=2^{6}+2^{5}+2^{1}+2^{0}} \\ {\quad=1100011} \\ {\text { However, this is only } 7 \text { bits and we need } 8, \text { so we must add one leading }} \\ {\text { 0 to fill out the answer. }} \\ {\qquad=01100011}\end{array}
\end{equation}
