Consider the Turing machine given in lecture which decides the languageB = {w#w | w is a binary string}.Simulate the Turing machine to show that the string 1001#1001 will be accepted by the Turing machine. Show all steps.
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Consider the Turing machine given in lecture which decides the language
B = {w#w | w is a binary string}.
Simulate the Turing machine to show that the string 1001#1001 will be accepted by the Turing machine. Show all steps.
Step by step
Solved in 2 steps
- Suppose that the check digit is computed as described in Example . Prove that transposition errors of adjacent digits will not be detected unless one of the digits is the check digit. Example Using Check Digits Many companies use check digits for security purposes or for error detection. For example, an the digit may be appended to a -bit identification number to obtain the -digit invoice number of the form where the th bit, , is the check digit, computed as . If congruence modulo is used, then the check digit for an identification number . Thus the complete correct invoice number would appear as . If the invoice number were used instead and checked, an error would be detected, since .Of the 70 students in Dr.Cross’s Math118 section, 40 can program in Randin Python, 30 can program in R and in SAS, and 50 can program in Python and in SAS. What is the maximum number who could possibly program in R? Draw draw 3 set venn diagram and answer question.d, e, f
- Let P be a property of the language of a Turing machine. We say P is non-trivial if it fulfills the following 2 conditions: - Some, but not all Turing machines satisfy the property P, and - P is a property of the language of the machines – i.e., if M1 and M2 are two Turing machines and L(M1) =L(M2), then they either both satisfy property P or they both do not satisfy property P. ---------------------------------------------------------------------- Note:AT M,HALTT M, and LCF are all problems related to non-trivialproperties. Rice’s Theorem:LetPbe any non-trivial property of the language of aTuring machine. DefineLPas follows: LP={〈M〉 |M is a Turing machine satisfying property P}. ThenLPis undecidable. ---------------------------------------------------------------------- In this problem, you will prove Rice’s Theorem. You may assume that (i) ifL(M) =∅, then〈M〉/∈LP, and (ii) MP is a Turing machine such that〈MP〉 ∈ LP. (a) Use the two assumptions above to create a machine M2 that…the minimum and maximum numbers that can be represented in two’s complement in 6 bits?Let S be the set of all bit strings (strings of 0's and I's) Select one: O A. f(s) = the string obtained by moving the first bit of s to the end of the string. (For example, f(1001101) = 0011011) O B. f(s) = the string obtained from s by interchanging 0's and I's. (For example, f(11000) = 00111) O c. f(s) the string & with a 1 bit appended at the end. (For example, f(1101) = 11011) O D. f(s) the reversal of s. (For example, f(110) = 011) length at least 2. Which of the following functions f : S → S is not onto S?
- Let N= {1, 2, 3, 4, .} be the set of natural numbers and S= (1, 4, 9, 16, ...} be the set of squares of the natural numbers. Then N - S, since we have the one-to-one correspondence 1 + 1, 2 + 4, 3 + 9, 4 + 16, ... n+ n?. (This example is interesting, since it shows that an infinite set can be equivalent to a proper subset of itself.) Show that each of the following pairs of sets are equivalent by carefully describing a one-to-one correspondence between the sets. Complete parts (a) through (c) below. (a) The whole numbers and natural numbers, W = {0, 1, 2, 3, ..} and N= {1, 2, 3, 4, ...} Which of the following describes a one-to-one correspondence between the two sets? O A. For each element in W, there is an element in N that is double that element. O B. For each element in w. there is an element in N that is 1 areater than double that element.PLEASE TYPE ONLY*** Exercise 5.11.2: Counting binary strings. Count the number of binary strings of length 10 subject to each of the following restrictions. There is only one binary string of length ten with no 1's: 00000000000. There are 210 binary strings of length ten. Therefore the number of binary strings of length ten with at least one 1 is 210 - 1. (b) The string has at least one 1 and at least one 0. (c) The string contains exactly five 1's or it begins with a 0. Exercise 5.11.4: Counting integer multiples. (b) How many integers in the range 1 through 140 are integer multiples of 2, 5, or 7?Pleas help with these two questions.