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Design a Turing machine that takes as input a number N and adds 1 to it in binary. To be precise, the tape initially contains a $ symbol followed by N in binary. The tape head is initially scanning the $ in state qo. After computation, your TM should halt (at state q) with N+1, in binary form, on its tape, scanning the leftmost bit of N+1. You may destroy/overwrite the $ in creating N+1, if necessary. For instance: If the input is $10011, then the output should be $10100, and If the input is $11111, then the output should be 100000. Provide the solution in the form of a formal description.

Design a Turing machine that takes as input a number N and adds 1 to it in binary. To be precise, the tape initially contains a $ symbol followed by N in binary. The tape head is initially scanning the $ in state qo. After computation, your TM should halt (at state q) with N+1, in binary form, on its tape, scanning the leftmost bit of N+1. You may destroy/overwrite the $ in creating N+1, if necessary. For instance: If the input is $10011, then the output should be $10100, and If the input is $11111, then the output should be 100000. Provide the solution in the form of a formal description.

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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2. TM design for binary increment operator: Design a Turing machine that takes as input a number N and adds 1 to it in binary. To be precise, the tape initially contains a $ symbol followed by N in binary. The tape head is initially scanning the $ in state qo. After computation, your TM should halt (at state qr) with N+1, in binary form, on its tape, scanning the leftmost bit of N+1. You may destroy/overwrite the $ in creating N +1, if necessary. For instance: If the input is $10011, then the output should be $10100, and If the input is $11111, then the output should be 100000. Provide the solution in the form of a formal description.
Transcribed Image Text:2. TM design for binary increment operator: Design a Turing machine that takes as input a number N and adds 1 to it in binary. To be precise, the tape initially contains a $ symbol followed by N in binary. The tape head is initially scanning the $ in state qo. After computation, your TM should halt (at state qr) with N+1, in binary form, on its tape, scanning the leftmost bit of N+1. You may destroy/overwrite the $ in creating N +1, if necessary. For instance: If the input is $10011, then the output should be $10100, and If the input is $11111, then the output should be 100000. Provide the solution in the form of a formal description.
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