Question: (a) Construct a phrase-structure grammar that generates allsigned decimal numbers, consisting of a sign (either + or -), a nonnegative integer; and a decimal fraction

(a) Construct a phrase-structure grammar that generates allsigned decimal numbers, consisting of a sign (either + or -), a nonnegative integer; and a decimal fraction that is either the empty string or adecimal point followed by a positive integer,where the initial zeros in an integerare allowed.

(b) Give the Backus-Naur form for this grammar.

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