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Problems in .NET Incoporate QR Code 2d barcode in .NET Problems

Problems use vs .net qr code iso/iec18004 maker tobuild qr codes in .net USD8 Problem 16.1. For each of QR Code for .

NET the sets described as follows, nd a transition graph that recognizes the set. (a) The set of strings on the alphabet {0, 1} that start with 01 and end with 10. (b) The set of strings on the alphabet {0, 1} that start and end with a 1, and in which every 0 is immediately preceded by at least two 1 s.

(c) The set of strings on the alphabet {0, 1, 2} in which every 2 is immediately followed by exactly two 0 s and every 1 is immediately followed by either 0 or else by 20. Problem 16.2.

Consider the class of transition graphs containing no -transitions. (a) Show a procedure for converting a speci ed transition graph with several starting vertices into a graph with just one starting vertex. Apply your procedure to the graph in Fig.

P16.2. Hint: Add a new vertex and designate it as the starting vertex.

(b) Show a procedure for converting a given transition graph with several accepting vertices into a graph with just one accepting vertex. Apply your procedure to the graph in Fig. P16.

2. (c) Is it always possible to convert an arbitrary transition graph into a graph with just one starting vertex and just one accepting vertex Determine the conditions under which such a conversion is possible. Problem 16.

3. For each of the nondeterministic graphs in Fig. P16.

3, nd an equivalent deterministic graph (in standard form) that recognizes the same set of strings.. 0 A 0 1 B 1 1 C Fig. P16.2 Problems Fig. P16.3 1 A 1 0 0 0 C 0 (a) 0 A 0 1 1 1 0 B A 0 B A 0 1 1 0 B. 0 1 (b). 0 C 0. C (c (. 1 )d ). Problem 16.4. Show that t he two graphs in Fig.

P16.4 are equivalent by converting them to deterministic forms..

Fig. P16.4 A 1 B 1 0 1 C D 1 1 E 0 1 1 1 Problem 16.5. Design a n ite-state machine that accepts only those input sequences that end with either 101 or 0110.

First construct a nondeterministic graph that recognizes the above set of sequences and then convert this graph into an equivalent deterministic graph. Discuss the merits of this approach versus the direct approach of deriving a state diagram from a word description. Problem 16.

6. Give a word description of the sets described by the following regular expressions: (a) 110 (0 + 1); (b) 1(0 + 1) 101; (c) (10) (01) (00 + 11) ; (d) (00 + (11) 0) 10..

Finite-state recognizers Problem 16.7. Find a regu lar expression for each set described in Problem 16.

1. Problem 16.8.

Use the identities in Section 16.4 to verify the identities below: (a) 10 + (1010) [ + (1010) ] = 10 + (1010) ; (b) (0 01 + 10) 0 = (0 + 01 + 10) ; (c) + 0(0 + 1) + (0 + 1) 00(0 + 1) = [(1 0) 01 ] . Problem 16.

9. (a) Use the induction procedure developed in Section 16.5 to nd a transition graph that recognizes the set of strings described by R = 0(11 + 0(00 + 1) ) .

(b) Convert the graph found in (a) to a deterministic state diagram. Problem 16.10.

For each of the following expressions, nd a transition graph that recognizes the corresponding set of strings: (a) (0 + 1)(11 + 0 ) (0 + 1); (b) (1010 + 1(101) 0) 1; (c) (0 + 11) (1 + (00) ) 11. Problem 16.11.

The regular expression that corresponds to the transition graph in Fig. P16.11 is R = [(1 0) 01 ] .

Find a nite-state machine that recognizes the same set of strings.. Fig. P16.11 B 0 0 D 1 Problem 16.12. The nondet QR Code JIS X 0510 for .

NET erministic graph in Fig. P16.12 has A and B as starting vertices and C as an accepting vertex.

(a) Find a regular expression that describes the set of strings accepted by this graph. (b) Derive a reduced deterministic machine equivalent to this graph..

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