Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 13 - Section 13.1 - Languages and Grammers - Exercises - Page 858: 35

Answer

Production rules in extended Backus–Naur

Work Step by Step

production rules in extended Backus–Naur form that generate all decimal numerals consisting of an optional sign, - a nonnegative integer, and a decimal fraction that is either the empty string or a decimal point followed by an optional positive integer optionally preceded by some number of zeros. - numeral ::= sign? nonzerodigit digit∗ decimal? | sign? 0 decimal? - sign ::= + | − - nonzerodigit ::= 1 | 2 | · · · | 9 - digit ::= 0 | nonzerodigit - decimal ::= .digit∗
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