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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.

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.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Give a DFA (both state transition diagram and table as well as description of each state) for each of the following languages 

b) 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:b) 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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