Universal Turing Machine Explained: Binary Encoding & Theory of Computation 📚

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Data Structures: https://www.youtube.com/watch?v=jEMmThJ-1ss&list=PL1QH9gyQXfgsy3G_J33ug6_mWeEBodovC
Theory of Computation: https://www.youtube.com/watch?v=p1oqDS0fayc&list=PL1QH9gyQXfgsUBfYUR0WirJASgif4pHVX
Compiler Design: https://www.youtube.com/watch?v=XMt-KL-xn7k&list=PL1QH9gyQXfguPNDTsnG90W2kBDQpYLDQr
Design and Analysis of Algorithms: https://www.youtube.com/playlist?list=PL1QH9gyQXfgs7foRxIbIH8wmJyDh5QzAm

The universal Turing machine which was constructed to prove the uncomputability of certain problems, is, roughly speaking, a Turing machine that is able to compute what any other Turing machine computes. Assuming that the Turing machine notion fully captures computability (and so that Turing’s thesis is valid), it is implied that anything which can be “computed”, can also be computed by that one universal machine. Conversely, any problem that is not computable by the universal machine is considered to be uncomputable.

This is the rhetorical and theoretical power of the universal machine concept, viz. that one relatively simple formal device captures all “the possible processes which can be carried out in computing a number” (Turing 1936–7). It is also one of the main reasons why Turing has been retrospectively identified as one of the founding fathers of computer science

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