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Construct a Turing Machine that computes the expression 2x+y, where x, y 2 0, and are represented on the tape as a sequence of 1s separated by a 0. For e. g., Say, x = 3, y = 5 are represented on the screen as -111011111; At the end of the computation, the tape contents should be -11111111111 representing the number 2x+y = 2(3)+5 = 11. Solution hint: a. If x = 0 and y 0, Accept. b. If x = 0, then 2x+y = y, Accept. C. Replace 1s of x with A. d. For each A, replace A with 1, and add a 1 at the end of the tape contents. e. Finally, Move 0 to the end f tape contents, and replace with a Blank, and Accept.

Construct a Turing Machine that computes the expression 2x+y, where x, y 2 0, and are represented on the tape as a sequence of 1s separated by a 0. For e. g., Say, x = 3, y = 5 are represented on the screen as -111011111; At the end of the computation, the tape contents should be -11111111111 representing the number 2x+y = 2(3)+5 = 11. Solution hint: a. If x = 0 and y 0, Accept. b. If x = 0, then 2x+y = y, Accept. C. Replace 1s of x with A. d. For each A, replace A with 1, and add a 1 at the end of the tape contents. e. Finally, Move 0 to the end f tape contents, and replace with a Blank, and Accept.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Construct a Turing Machine that computes the expression 2x+y, where x, y 2 0, and are represented on the tape as a sequence of 1s separated by a 0. For e. g., Say, x = 3, y = 5 are represented on the screen as -111011111; At the end of the computation, the tape contents should be +11111111111 representing the number 2x+y = 2(3)+5 = 11. Solution hint: a. If x = 0 and y = 0, Accept. b. If x = 0, then 2x+y = y, Accept. c. Replace 1s of x with A. d. For each A, replace A with 1, and add a 1 at the end of the tape contents. e. Finally, Move 0 to the end f tape contents, and replace with a Blank, and Accept.
Transcribed Image Text:Construct a Turing Machine that computes the expression 2x+y, where x, y 2 0, and are represented on the tape as a sequence of 1s separated by a 0. For e. g., Say, x = 3, y = 5 are represented on the screen as -111011111; At the end of the computation, the tape contents should be +11111111111 representing the number 2x+y = 2(3)+5 = 11. Solution hint: a. If x = 0 and y = 0, Accept. b. If x = 0, then 2x+y = y, Accept. c. Replace 1s of x with A. d. For each A, replace A with 1, and add a 1 at the end of the tape contents. e. Finally, Move 0 to the end f tape contents, and replace with a Blank, and Accept.
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