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Section 4: Programming and Data Structures Programming in C, Recursion Arrays, stacks, queues, linked lists, trees, binary search trees, binary heaps, graphs. Processes, threads, CPU scheduling : What happens when we turn on computer? Read and Write operations in memory Memory Interleaving Introduction to memory and memory units 2D and 2.
Section 9: Theory of Computation Regular expressions and finite automata Context-free grammars and push-down automata Regular and context-free languages, pumping lemma Turing machines and undecidability. Regular expression, langauges, grammar and finite automata : Regular languages and finite automata Practice problems on finite automata Practice problems on finite automata Set 2 Context free langauges, grammar and push down automata : Context free languages and Push-down automata Context Sensitive langauges :.
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Section Compiler Design Lexical analysis, parsing, syntax-directed translation Runtime environments Intermediate code generation. Intermediate code generation : Code Generation and Optimization. Section Digital Logic Boolean algebra Combinational and sequential circuits. Moore machine is an output producer.
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As Moore and Mealy machines are both types of finite-state machines, they are equally expressive: either type can be used to parse a regular language. When represented as a state diagram ,.
However, not every Mealy machine can be converted to an equivalent Moore machine. Some can be converted only to an almost equivalent Moore machine, with outputs shifted in time. So for each input, the output is already fixed before the input is received, and depends solely on the present state. This is the original definition by E. Most digital electronic systems are designed as clocked sequential systems. Clocked sequential systems are a restricted form of Moore machine where the state changes only when the global clock signal changes.
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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. A sequential network has one input and one output. The output becomes 1 and remains 1 thereafter when at least two 0's and two 1's have occurred as inputs. A moore machine with nine states for the above description is shown on the right. The initial state is state A, and the final state is state I. The state table for this example is as follows:. Another directly following problem is the improvement of the bounds given at the theorems 8 and 9.
Algebraic structure theory of sequential machines
In , A. Karatsuba proved the following two theorems, which completely solved Moore's problem on the improvement of the bounds of the experiment length of his "Theorem 8". Theorem A. Theorem B.