Give a DFA (both state transition diagram and table as well as a description of each state) for the following language

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Give a DFA (both state transition diagram and table as well as a description of each state) for the following language

A language over alphabet E = {. ,0,1,2,3,4,5,6,7,8,9} in which each string is interpreted as a floating
point type decimal number. Therefore, each string must have exactly one “." and at least one digit on
either side of the ".". Further, it should not include any superfluous leading or trailing zeros. Thus,
0.12, 32.0 and 358.002 are all members of the language. On the other hand, 32.30, 32.00, 01.32 and
0032.680 are all not included in the language.
Transcribed Image Text:A language over alphabet E = {. ,0,1,2,3,4,5,6,7,8,9} in which each string is interpreted as a floating point type decimal number. Therefore, each string must have exactly one “." and at least one digit on either side of the ".". Further, it should not include any superfluous leading or trailing zeros. Thus, 0.12, 32.0 and 358.002 are all members of the language. On the other hand, 32.30, 32.00, 01.32 and 0032.680 are all not included in the language.
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