So I'm trying to convert a number to binary, but I keep getting the incorrect answer. If it matters I was roughly following this guide.
Here is my work:
$120 = 60 + 60$
$120 = 64 + 32 + 16 + 8$
$1$ ($64$s place) $1$ ($32$s place) $1$ ($16$s place) $0$ ($8$s place) $0$ ($4$s place) $1$ ($2$s place) $0$ ($1$s place) OR $1110010$
There's no need to guess: \begin{align} 120&=2\cdot 60+0\\ 60&=2\cdot 30+0\\ 30&=2\cdot 15+0\\ 15&=2\cdot 7+1\\ 7&=2\cdot 3+1\\ 3&=2\cdot 1+1\\ 1&=2\cdot 0+1 \end{align} So $$ 120=\texttt{1111000}=0\cdot1+0\cdot2+0\cdot4+1\cdot8+1\cdot16+1\cdot32+1\cdot64 $$
If you want to use eight bits, then you can pad with zeros on the left: $$ 120=\texttt{01111000} $$ (this just means that you add $0\cdot128$).
You can also do it by subtractions: \begin{array}{ccc} 120<128 && \texttt{0}\\ 120\ge64 & (120-64=56) & \texttt{1}\\ 56\ge32 & (56-32=24) & \texttt{1}\\ 24\ge16 & (24-16=8) & \texttt{1}\\ 8\ge8 & (8-8=0) & \texttt{1}\\ 0<4 && \texttt{0}\\ 0<2 && \texttt{0}\\ 0<1 && \texttt{0} \end{array}
