# GEDANKEN-EXPERIMENTS ON SEQUENTIAL MACHINES PDF

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Clocked sequential systems are a restricted form of Moore machine where the state changes only when the global clock signal changes. Typically the current state is stored in flip-flops , and a global clock signal is connected to the "clock" input of the flip-flops. Clocked sequential systems are one way to solve metastability problems. A typical electronic Moore machine includes a combinational logic chain to decode the current state into the outputs lambda.

The instant the current state changes, those changes ripple through that chain, and almost instantaneously the output gets updated. There are design techniques to ensure that no glitches occur on the outputs during that brief period while those changes are rippling through the chain, but most systems are designed so that glitches during that brief transition time are ignored or are irrelevant.

The outputs then stay the same indefinitely LEDs stay bright, power stays connected to the motors, solenoids stay energized, etc. State diagram for an edge detector using XOR. Moore machine in combinational logic Complex More complex Moore machines can have multiple inputs as well as multiple outputs. Nine theorems are proved about the structure of S, and experiments with S. Later, S machines became known as Moore machines. At the end of the paper, in Section Further problems, the following task is stated: Another directly following problem is the improvement of the bounds given at the theorems 8 and 9.

In , A. Theorem A. If S is an n;m;p machine, such that every two of its states are distinguishable from one another, then there exists a branched experiment of length at most through which one may determine the state of S at the end of the experiment.

Theorem B. There exists an n;m;p machine, every two states of which are distinguishable from one another, such that the length of the shortest experiments establishing the state of the machine at the end of the experiment is equal to.

Theorems A and B were used for the basis of the course work of a student of the fourth year, A. Karatsuba , "On a problem from the automata theory" which was distinguished by testimonial reference at the competition of student works of the faculty of mechanics and mathematics of Moscow Lomonosow State University in The paper by A. Karatsuba was given to the journal Uspekhi Mat. Nauk on 17 December and was published there in June See also.

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## Offprint of "Gedanken-Experiments on Sequential Machines" by E F Moore

Clocked sequential systems are a restricted form of Moore machine where the state changes only when the global clock signal changes. Typically the current state is stored in flip-flops , and a global clock signal is connected to the "clock" input of the flip-flops. Clocked sequential systems are one way to solve metastability problems. A typical electronic Moore machine includes a combinational logic chain to decode the current state into the outputs lambda.

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