1) Give a clear English description of the language accepted by the following DFSM: a -...
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1) Give a clear English description of the language accepted by the following DFSM: a - 4 b b b a, b 5 b a aa 6 2) Show a DFSM to accept each of the following languages: a) {we {a,b}*: every a in w is immediately preceded and followed by b}. b) {we {a,b}* : w does not end in ba}. c) {w = {0, 1}* w corresponds to the binary encoding, without leading O's, of natural numbers that are evenly divisible by 4}. d) {w = {0, 1}* : w corresponds to the binary encoding, without leading 0's, of natural numbers that are powers of 4}. {w = {0-9}* : w corresponds to the decimal encoding, without leading 0's, of an odd natural number}. {we {0, 1}* w has 001 as a substring}. g) {w= {0, 1}* : w does not have 001 as a substring}. h) {we {a,b}*: w has bbab as a substring}. i) {we {a,b}* w has neither ab nor bb as a substring}. j) {we {a, b}* : w has both aa and bb as substrings}. k) {we {a,b}* : w contains at least two b's that are not immediately followed by an a}. 1) {we {0, 1}* w has no more than one pair of consecutive 0's and no more than one pair of consecutive 1's}. m) {we {0, 1}* : none of the prefixes of w ends in 0}. n) {we {a,b}*: (#a(w) + 2#b(w)) =5 0} . (#aw is the number of a's in w). e) f) 1) Give a clear English description of the language accepted by the following DFSM: a - 4 b b b a, b 5 b a aa 6 2) Show a DFSM to accept each of the following languages: a) {we {a,b}*: every a in w is immediately preceded and followed by b}. b) {we {a,b}* : w does not end in ba}. c) {w = {0, 1}* w corresponds to the binary encoding, without leading O's, of natural numbers that are evenly divisible by 4}. d) {w = {0, 1}* : w corresponds to the binary encoding, without leading 0's, of natural numbers that are powers of 4}. {w = {0-9}* : w corresponds to the decimal encoding, without leading 0's, of an odd natural number}. {we {0, 1}* w has 001 as a substring}. g) {w= {0, 1}* : w does not have 001 as a substring}. h) {we {a,b}*: w has bbab as a substring}. i) {we {a,b}* w has neither ab nor bb as a substring}. j) {we {a, b}* : w has both aa and bb as substrings}. k) {we {a,b}* : w contains at least two b's that are not immediately followed by an a}. 1) {we {0, 1}* w has no more than one pair of consecutive 0's and no more than one pair of consecutive 1's}. m) {we {0, 1}* : none of the prefixes of w ends in 0}. n) {we {a,b}*: (#a(w) + 2#b(w)) =5 0} . (#aw is the number of a's in w). e) f)
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Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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