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## Engineering

 Civil Engineering Chemical Engineering Electrical & Electronics Mechanical Engineering Computer Engineering Engineering Mathematics MATLAB Other Engineering Digital Electronics Biochemical & Biotechnology

problem1) Construct one Turing Machine for computing each of the following functions

(i)  f (m, n) = m*n, where ‘*’ denotes multiplication

(ii) f (m, n) =

problem2) Construct one grammer for each of the following languages

(a) {ambn: m

(b) {w ∈ {0,1}* w=wR}

problem3) Show that each of the following functions is primitive recursive:

(i)  f (m, n)   = 4mn

(ii) f (m, n)   = (5n)2m

problem4) Define following concepts formally:

a) Kleene Closure of an alphabet set.

b) Finite Automata

c) Godel Number

d) Regular Expression

e) Primitive Recursive Function

f) Unsolvable Problem

g) Turing-Decidable Problem

h) Moore Automata

problem5) (i)  Construct the DFA (Deterministic Finite Automata) accepting following Set:

{w ∈ {a,b}*: w has the even number of a’s and odd number of b’s}

(ii) Construct Turing Machine for the following languages:

1) {anbncn : n > 1}

2)  wwR : w is any string of 0’s and 1’s}

Computer Engineering, Engineering

• Category:- Computer Engineering
• Reference No.:- M92364

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