Convert positional notation $1$FA$.$U$06G{3}_{32}$ from base $32$ to binary and then to hexadecimal.

Here, much like base $16,$ we use letters A through V to represent $10$ through $31,$ and note

the fractional part in this case is U zero six G $($i$.$e$.,$ it is difficult to see the difference between

$0$ and O $).$ Use the shortcut of grouping binary bits as seen in class.