MCQ IN COMPUTER SCIENCE & ENGINEERING

COMPUTER SCIENCE AND ENGINEERING

THEORY OF COMPUTATION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What is a Turing machine that is able to simulate all other Turing machines faithfully?
A
Nested Turing machines
B
Universal Turing machine
C
Counter machine
D
None of the mentioned
Explanation: 

Detailed explanation-1: -In computer science, a universal Turing machine (UTM) is a Turing machine that can simulate an arbitrary Turing machine on arbitrary input. The universal machine essentially achieves this by reading both the description of the machine to be simulated as well as the input to that machine from its own tape.

Detailed explanation-2: -A Turing machine that is able to simulate any other Turing machine is called a universal Turing machine (UTM, or simply a universal machine).

Detailed explanation-3: -This is why we instroduce the notion of a universal turing machine (UTM), which along with the input on the tape, takes in the description of a machine M. The UTM can go on then to simulate M on the rest of the contents of the input tape. A universal turing machine can thus simulate any other machine.

Detailed explanation-4: -A Turing machine models a device (e.g., computer) that is able to perform mechanical computations. For this reason, a Turing machine is said to be a computational model.

Detailed explanation-5: -We learned that a Turing machine is called a Universal Turing Machine if it is powerful enough to simulate any other Turing Machine. Starting from understanding the need for a Universal Turing Machine, we learned about its requirements and its inputs of it. We then designed a schematic diagram of a UTM.

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