o Construct a Standard Turing Machine to compute the function f(x) = [1. the ceiling of ▪ Assume is a positive integer represented in unary notation on the Turing machine's tape. • f(x) will also be a positive integer represented in unary notation on the Turing machine's tape. o Save your Standard Turing Machine as a JFLAP jff file, and submit that .jff file to Canvas as your solution to this exercise. zamples... o Example 1 • If x = 5, then f(x) = f(5) = [1 = [2.51 = 3 Turing machine input would be a string of five ones, which is the string 11111 Turing machine output should be a string of three ones, which is the string 111 o Example 2 If z = 8, then f(x) = f(8) = [1 = [4.01 = 4 Turing machine input would be a string of eight ones, which is the string 111111 Turing machine output should be a string of four ones, which is the string 1111 o Example 3 • If x= 15, then f(x) = f(15) = []=[7.51 = 8 ▪ Turing machine input would be a string of fifteen ones, which is the string 111111111111111 • Turing machine output should be a string of eight ones, which is the string 11111111 Example 4 If x = 6, then f(x) = f(6) = [1 = [3.0] =3 • Turing machine input would be a string of six ones, which is the string 111111 ▪ Turing machine output should be a string of three ones, which is the string 111
o Construct a Standard Turing Machine to compute the function f(x) = [1. the ceiling of ▪ Assume is a positive integer represented in unary notation on the Turing machine's tape. • f(x) will also be a positive integer represented in unary notation on the Turing machine's tape. o Save your Standard Turing Machine as a JFLAP jff file, and submit that .jff file to Canvas as your solution to this exercise. zamples... o Example 1 • If x = 5, then f(x) = f(5) = [1 = [2.51 = 3 Turing machine input would be a string of five ones, which is the string 11111 Turing machine output should be a string of three ones, which is the string 111 o Example 2 If z = 8, then f(x) = f(8) = [1 = [4.01 = 4 Turing machine input would be a string of eight ones, which is the string 111111 Turing machine output should be a string of four ones, which is the string 1111 o Example 3 • If x= 15, then f(x) = f(15) = []=[7.51 = 8 ▪ Turing machine input would be a string of fifteen ones, which is the string 111111111111111 • Turing machine output should be a string of eight ones, which is the string 11111111 Example 4 If x = 6, then f(x) = f(6) = [1 = [3.0] =3 • Turing machine input would be a string of six ones, which is the string 111111 ▪ Turing machine output should be a string of three ones, which is the string 111
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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