pls remove the hint part from the question as it is not part of it. Also they've asked to design S-attributed SDD so there will be no use of inherited attributes

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This grammar generates binary numbers with a "decimal" point:

- $S\rightarrow L.L\mid L$
- $L\rightarrow LB\mid B$
- $B\rightarrow 0\mid 1$

Design an S-attributed SDD to compute $S.val$, the decimal-number value of an input string. For example, the translation of string $101.101$ should be the decimal number $5.625$.

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$S\rightarrow L.L$ | $S.val=L_{1}.val+\frac{L_{2}.val}{2^{L_{2}.count}}$ |

$S\rightarrow L$ | $S.val=L.val$ |

$L\rightarrow LB$ |
$L.val=2*L_{1}.val+B.val$ $L.count=L_{1}.count+B.count$ |

$L\rightarrow B$ |
$L.val=B.val$ $L.count=B.count$ |

$B\rightarrow 0$ |
$B.val=0$ $B.count=1$ |

$B\rightarrow 1$ |
$B.val=1$ $B.count=1$ |

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