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Hint: I suggest you draw what is given and then figure out what single instruction will make the machine behave as described.

Hint: I suggest you draw what is given and then figure out what single instruction will make the machine behave as described.

Database System Concepts
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
Section: Chapter Questions
Problem 1PE
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We are going to write a Turing machine that reads a string of 1's as input and produces a 1 for output if the string is a length that is a multiple of 3 and outputs a O otherwise. The 1 or O should be spaced 1 position to the right of the end of the input. You may assume that the input contains only zero or more 1's. For example here are four before and after snapshots. Before After B1 В Input is zero 1's (0 is a multiple of 3) <== 1 1 0 11 11 0 111 111 1 Here is a Turing machine that does most of the work but is missing one instruction. Fill the blank with the instruction needed. Follow the format of the other instructions (ie, current-state current- head head-instruction new-state, with exactly one space between each). qO 1 R q1 q1 1 R q2 q2 1 R q0 q0 BR q3 q1 BR q4 93 В 1 q5 q4 B0 q6 Hint: I suggest you draw what is given and then figure out what single instruction will make the machine behave as described.
Transcribed Image Text:We are going to write a Turing machine that reads a string of 1's as input and produces a 1 for output if the string is a length that is a multiple of 3 and outputs a O otherwise. The 1 or O should be spaced 1 position to the right of the end of the input. You may assume that the input contains only zero or more 1's. For example here are four before and after snapshots. Before After B1 В Input is zero 1's (0 is a multiple of 3) <== 1 1 0 11 11 0 111 111 1 Here is a Turing machine that does most of the work but is missing one instruction. Fill the blank with the instruction needed. Follow the format of the other instructions (ie, current-state current- head head-instruction new-state, with exactly one space between each). qO 1 R q1 q1 1 R q2 q2 1 R q0 q0 BR q3 q1 BR q4 93 В 1 q5 q4 B0 q6 Hint: I suggest you draw what is given and then figure out what single instruction will make the machine behave as described.
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