In exercise $1\mathrm{.}3($a$)$ you concluded that $[$lg $35]=6,$ and in exercise $1\mathrm{.}3($d$)$ you con$-$ cluded that the number $35$ is six bits long: $35$ in binary is $100011.$ So$,$ is it true that $[$lg n$]$ is the length of n writ$-$ ten in binary? Explain your answer clearly.