$1\mathrm{.}13$ Perform the following conversion problems:

$($a$)$ Convert decimal $45\mathrm{.}125$ to binary.

$($b$)$ Calculate the binary equivalent of $3\mathrm{.}33$ out to four places. Then convert from binary

to decimal. Find the error percentage.

$($c$)$ Convert the binary result in $($b$)$ into hexadecimal. Then convert the result to decimal.

Is the answer the same?