Write a Turing machine that converts its input from binary to unary. In other words, if the input is the string x ∈ {$, 0, 1}∗ , a $ followed by the binary expansion of the nonnegative integer n (for example, $101 to represent n = 5), then the machine outputs the string 1^n . You may assume the input string will be in this format, i.e., a $ followed by either just a 0, or followed by a binary string beginning with 1.

Write a Turing machine that converts its input from binary to unary. In other words, if the input is the string x ∈ {$, 0, 1}∗ , a $ followed by the binary expansion of the nonnegative integer n (for example, $101 to represent n = 5), then the machine outputs the string 1^n . You may assume the input string will be in this format, i.e., a $ followed by either just a 0, or followed by a binary string beginning with 1.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter5: Control Structures Ii (repetition)

Section: Chapter Questions

Problem 14PE

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Problems on Turing Machines

In the computational world, the Turing machine is a powerful computation engine. The invention of the Turing Machine is done by Alan Turing in 1936. A Turing Machine (TM) is a diagrammatic model of a fictional computer. It determines an output from a set of input variables using a pre-defined set of rules. It is used to get around the limitations of finite automata and pushdown automata.

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Write a Turing machine that converts its input from binary to unary. In other words, if the input is the string x ∈ {$, 0, 1}∗ , a $ followed by the binary expansion of the nonnegative integer n (for example, $101 to represent n = 5), then the machine outputs the string 1^n . You may assume the input string will be in this format, i.e., a $ followed by either just a 0, or followed by a binary string beginning with 1.

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