Question: QUESTIONS Build a Turing Machine that multiplies two integers. Explain the logic behind your design shortly. An example initial and final configuration is given below.

QUESTIONS

Build a Turing Machine that multiplies two integers. Explain the logic behind your design shortly. An example initial and final configuration is given below.

Initial configuration:aaaaa

b b d o t s

Final configuration: AAAAA

b b c c c c c c c c c d o t s

The example above indicates that

5

is multiplied by

2

and the result which consists of

10

'

s resides on the tape after the input. You can change the letters during the process as in the above example a

'

s are turned to A

'

s to mark them during the process of the Turing machine.

Consider the following languages over the alphabet

= {a, b, c} .

If they are regular find a regular expression that defines the language. Otherwise, prove that thay are non

-

regular using pumping lemma.

) L l = {a^{2 n} b^{m} c | n, m 0}

) L 2 = {a^{2 n} b c c^{n} | n 0}

Explain halting problem briefly.

QUESTIONS Build a Turing Machine that multiplies two integers. Explain the

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