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 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 Provide the solution in the form of a formal description.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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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 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
Provide the sohition 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 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 Provide the sohition in the form of a formal description.
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