Design a Turing machine which, given a positive integer n, determines the value [n/2]. The unary system can be used to represent the value of n: for the input, we write n consecutive 0's on the mput tape (surrounded by blanks) and position the read/write head at the leftmost 0. When your Turing machine halts, the result should appear on the tape-also in unary-with the read/write ead positioned at the leftmost 0 of the result.

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
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Design a Turing machine which, given a positive integer n, determines the value [n/2]. The unary
system can be used to represent the value of n: for the input, we write n consecutive 0's on the
input tape (surrounded by blanks) and position the read/write head at the leftmost 0. When your
Turing machine halts, the result should appear on the tape-also in unary-with the read/write
head positioned at the leftmost 0 of the result.
Transcribed Image Text:Design a Turing machine which, given a positive integer n, determines the value [n/2]. The unary system can be used to represent the value of n: for the input, we write n consecutive 0's on the input tape (surrounded by blanks) and position the read/write head at the leftmost 0. When your Turing machine halts, the result should appear on the tape-also in unary-with the read/write head positioned at the leftmost 0 of the result.
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