Let synthesized attribute val give the value of the binary number generated by S in the following grammar. For example, on input 101.101, S.val = 5.625.
$S \rightarrow L.L \mid L$
$L \rightarrow LB \mid B$
$B \rightarrow 0 \mid 1$
Write S-attributed values corresponding to each of the productions to find S.val.